bluuebunny/crossref_metadata_2025 huggingface dataset:
Spatial transcriptomics in glioblastoma: is knowing the right zip code the key to the next therapeutic breakthrough?
Authors: Shireman Jack M. , Cheng Lingxin , Goel Amiti , Garcia Diogo Moniz , Partha Sanil , Quiñones-Hinojosa Alfredo , Kendziorski Christina , Dey Mahua
Published: October 2023

Spatial transcriptomics, the technology of visualizing cellular gene expression landscape in a cells native tissue location, has emerged as a powerful tool that allows us to address scientific questions that were elusive just a few years ago. This technological advance is a decisive jump in the technological evolution that is revolutionizing studies of tissue structure and function in health and disease through the introduction of an entirely new dimension of data, spatial context. Perhaps the organ within the body that relies most on spatial organization is the brain. The central nervous system’s complex microenvironmental and spatial architecture is tightly regulated during development, is maintained in health, and is detrimental when disturbed by pathologies. This inherent spatial complexity of the central nervous system makes it an exciting organ to study using spatial transcriptomics for pathologies primarily affecting the brain, of which Glioblastoma is one of the worst. Glioblastoma is a hyper-aggressive, incurable, neoplasm and has been hypothesized to not only integrate into the spatial architecture of the surrounding brain, but also possess an architecture of its own that might be actively remodeling the surrounding brain. In this review we will examine the current landscape of spatial transcriptomics in glioblastoma, outline novel findings emerging from the rising use of spatial transcriptomics, and discuss future directions and ultimate clinical/translational avenues.
Optimizing polypharmacy management in the elderly: a comprehensive European benchmarking survey and the development of an innovative online benchmarking application
Authors: Kardas Przemysław , Mair Alpana , Stewart Derek , Lewek Paweł
Published: October 2023

Background: Polypharmacy, defined as the simultaneous use of multiple medications by a patient, is a worldwide problem of rising prevalence. Paving the way for drug interactions, adverse drug reactions and non-adherence, it leads to negative health outcomes, increased use of healthcare services and rising costs. Since it is closely related to multimorbidity, it peaks in older adults. So far, not many polypharmacy management programs in the elderly have been introduced in practice. However, due to the rapid ageing of European societies, there is an urgent need to implement them more widely.

Objective: The aim of this study was to benchmark polypharmacy management programs in the elderly available in Europe and creating a dedicated benchmarking application.

Methods: It was a cross-sectional study based on an online survey targeting healthcare professionals and other stakeholders across European countries. Data collected in the survey were reused to design an online benchmarking application.

Results: As many as 911 respondents from all but two EU countries took part in this study. Out of the survey participants, 496 (54.4%) reported availability of various activities or formal programs targeting polypharmacy in the elderly that were known to them. These programs had multiple goals, of which improved patient safety was indicated as the most common objective (65.1% of the cases). The most typical settings for such programs was primary care (49.4%), with pharmacists and primary care doctors being indicated most often as those providing the programs (61.7% and 35.5% of cases, respectively). Vast majority of programs applied diverse forms of drug reviews. The identified programs were assessed against four predefined dimensions of effectiveness, applicability, scalability and cost-effectiveness. The lowest scores were obtained within the last of these categories, due to unavailability of relevant data. Based on the survey results, a benchmarking application was constructed. It allows for comparing an individual polypharmacy management program targeting the elderly against the other ones, and particularly, against the national and European context.

Conclusion: By providing strong evidence, the findings of this study, coupled with the benchmarking application, can prove valuable in aiding clinicians and policymakers in the implementation and expansion of polypharmacy management programs for the elderly.
Efficacy and safety of fecal microbiota transplantation for the treatment of irritable bowel syndrome: an overview of overlapping systematic reviews
Authors: Zhang Di , Tang Yan , Bai Xiangyu , Li Da , Zhou Mengxue , Yu Chunmei , Wu Hua
Published: October 2023

Aim: Evidence from overlapping systematic reviews (SRs) and meta-analyses (MAs) has yielded conflicting results on the treatment of irritable bowel syndrome (IBS) with fecal microbiota transplantation (FMT). To thoroughly gather, assess, and synthesize evidence on FMT for IBS, we carried out the present study.

Methods: A comprehensive search was conducted in Cochrane Library, Web of Science, PubMed, and Embase from inception to May 2023. Tools for assessing the methodological quality, reporting quality, and confidence in outcomes, including A Measurement Tool to Assess Systematic Reviews 2 (AMSTAR-2), Preferred Reporting Items for Systematic Reviews and Meta-analyses (PRISMA), and the Grading of Recommendations Assessment, Development and Evaluation (GRADE).

Results: Seven eligible SRs/MAs were finally included in this overview. By AMSTAR-2, the methodological quality of SRs/MAs included five that were very low quality, one that was low quality, and one that was high quality. According to PRISMA, limitations were associated with items 5 (Method: Protocol and Registration), 8 (Method: Search), and 27 (Funding). In GRADE, a total of 19 outcomes were included in the seven reviews, of which 12 outcomes were low quality and seven outcomes were moderate quality. Imprecision due to small sample size was the primary factor leading to evidence downgrading.

Conclusion: We conclude that there is insufficient evidence to determine whether FMT has a more beneficial effect on patient with IBS than placebo treatment. Well-designed, larger trails are needed to provide evidence in this field. In addition, selection of donor, route of administration, dosage, and frequency still need to be determined.
Skeletal adaptation to mechanical cues during homeostasis and repair: the niche, cells, and molecular signaling
Authors: Atria Pablo J. , Castillo Alesha B.
Published: October 2023

Bones constantly change and adapt to physical stress throughout a person’s life. Mechanical signals are important regulators of bone remodeling and repair by activating skeletal stem and progenitor cells (SSPCs) to proliferate and differentiate into bone-forming osteoblasts using molecular signaling mechanisms not yet fully understood. SSPCs reside in a dynamic specialized microenvironment called the niche, where external signals integrate to influence cell maintenance, behavior and fate determination. The nature of the niche in bone, including its cellular and extracellular makeup and regulatory molecular signals, is not completely understood. The mechanisms by which the niche, with all of its components and complexity, is modulated by mechanical signals during homeostasis and repair are virtually unknown. This review summarizes the current view of the cells and signals involved in mechanical adaptation of bone during homeostasis and repair, with an emphasis on identifying novel targets for the prevention and treatment of age-related bone loss and hard-to-heal fractures.
Implementation of trauma-informed care and trauma-responsive services in clinical settings: a latent class regression analysis
Authors: Anderson Katherine M. , Piper Kaitlin N. , Kalokhe Ameeta S. , Sales Jessica M.
Published: October 2023

Introduction

Engagement and retention in health care is vital to sustained health among people living with HIV (PLWH), yet clinical environments can deter health-seeking behavior, particularly for survivors of interpersonal violence. PLWH face disproportionate rates of interpersonal violence; clinical interactions can provoke a re-experiencing of the sequalae of trauma from violence, called re-traumatization. Trauma-informed care (TIC) is a strengths-based approach to case that minimizes potential triggers of re-traumatization and promotes patient empowerment, increasing acceptability of care. Yet, Ryan White HIV/AIDS clinics, at which over 50% of PLWH received care, have struggled to IMPLEMENT TIC. In this analysis, we sought to (1) identify unique sub-groups of HIV clinics based on clinical attributes (i.e., resources, leadership, culture, climate, access to knowledge about trauma-informed care) and (2) assess relationships between sub-group membership and degree of implementation of TIC and trauma-responsive services offered.

Methods

A total of 317 participants from 47 Ryan White Federally-funded HIV/AIDS clinics completed a quantitative survey between December 2019 and April 2020. Questions included assessment of inner setting constructs from the Consolidated Framework for Implementation Research (CFIR), perceived level of TIC implementation, and trauma-responsive services offered by each respondent’s clinic. We employed latent class analysis to identify four sub-groups of clinics with unique inner setting profiles: Weak Inner Setting (n = 124, 39.1%), Siloed and Resource Scarce (n = 80, 25.2%), Low Communication (n = 49, 15.5%), and Robust Inner Robust (n = 64, 20.2%). We used multilevel regressions to predict degree of TIC implementation and provision of trauma-responsive services.

Results

Results demonstrate that clinics can be distinctly classified by inner setting characteristics. Further, inner setting robustness is associated with a higher degree of TIC implementation, wherein classes with resources (Robust Inner Setting, Low Communication) are associated with significantly higher odds reporting early stages of implementation or active implementation compared to Weak class membership. Resourced class membership is also associated with availability of twice as many trauma-responsive services compared to Weak class membership.

Discussion

Assessment of CFIR inner setting constructs may reveal modifiable implementation setting attributes key to implementing TIC and trauma-responsive services in clinical settings. Introduction.
Children orphaned from COVID-19 in Thailand: maximize use of civil registration database for policies
Authors: Tangcharoensathien Viroj , Iamsirithaworn Sopon , Rittirong Jongjit , Techanimitvat Sanchai , Vapattanawong Patama , Apiratipanya Lucksana , Chanthama Thiphaphon , Rueangsom Putthipanya
Published: October 2023

Orphans, especially those who experience maternal loss at a young age, face significant long-term negative impacts on their lives and psychological well-being, extending beyond the age of 18. As of July 2023, the global death toll of COVID-19 has reached 6.9 million, leaving behind an unknown number of orphans who require immediate attention and support from policymakers. In Thailand, from April 2020 to July 2022, the total number of COVID-19-related deaths reached 42,194, resulting in 4,139 parental orphans. Among them, 452 (10.9%) were children under the age of five, who are particularly vulnerable and necessitate special policy attention and ongoing support. While the provision of 12 years of free education for all and Universal Health Coverage helps alleviate the education and health expenses borne by households supporting these orphans, the monthly government support of 2,000 Baht until the age of 18 is insufficient to cover their living costs and other education-related expenditures. We advocate for adequate financial and social support for COVID-19 orphans, emphasizing the importance of placing them with relatives rather than institutional homes. In the context of post-pandemic recovery, this perspective calls upon governments and global communities to estimate the number of orphans and implement policies to safeguard and support them in the aftermath of COVID-19.
Can We Diagnose Brain Tumors Using a Blood Test?
Authors: Zadeh Gelareh
Published: October 2023

Brain tumors are abnormal growths of cells in the brain, and they can be cancerous or non-cancerous. My job as a neurosurgeon is to perform surgeries to remove harmful brain tumors from patients’ brains. Along with this work, I am also a professor at the University of Toronto, where I study brain tumors. By learning more about brain tumors in the lab, I hope to help develop new treatments and diagnostic tools that can improve the ways patients are treated and the outcomes of those treatments. In this article, I will tell you about brain tumors, how they are usually diagnosed and treated, and the next steps we are hoping to take to improve the field of neurosurgery.
Investigation of Jamming Phenomenon in a Direct Reduction Furnace Pellet Feed System Using the Discrete Element Method
Authors: Rosser John G. , Okosun Tyamo , Ugarte Orlando J. , Zhou Chenn Q.
Published: October 2023

A continuous iron ore pellet feed system for a direct reduction ironmaking furnace is reportedly jamming in a hopper above the furnace, where a counterflowing gas seals off the furnace flue gas. The conditions that result in jamming are not well understood. The system is computationally modeled utilizing the coupled discrete element method (DEM) and computational fluid dynamics (CFD) technique. The technique is computationally expensive; therefore, the pellet sizing is modified while preserving the key metrics important in jamming. The model is used to study the impact of pellet moisture, heating, and ice formation between pellets in relation to the jamming event. The results indicate that the influence of moisture alone on the bulk shear rate is unlikely to jam the system and that insufficient heat is supplied by the counterflowing gas to raise the temperature of the pellets, which suggests freezing conditions can exist within the hopper. Particle bonding is implemented to replicate wet and icy pellets freezing and breaking up. The results indicate that the system jams in winter conditions when the hopper is charged with a minimum of 15% icy pellets, or 10% icy with 5% wet pellets. These results agree with industry reports of jamming during winter operations.
Improving Person Re-Identification with Distance Metric and Attention Mechanism of Evaluation Features
Authors: Zhou Jieqian
Published: October 2023

In the present study, we developed a person re-identification network called the Multiple Granularity Attention Cosine Network (MGAC). MGAC utilizes the Multiple Granularity Network (MGN), which combines global and local features and constructs an attention mechanism to add to MGN to form a Multiple Granularity Attention Network (MGA). With the attention mechanism, which focuses on important features, MGA assesses the importance of learned features, resulting in higher scores for important features and lower scores for distracting features. Thus, identification accuracy is increased by enhancing important features and ignoring distracting features. We performed experiments involving several classical distance metrics and selected cosine distance as the distance metric for MGA to form the MGAC re-identification network. In experiments on the Market-1501 mainstream dataset, MGAC exhibited high identification accuracies of 96.2% and 94.9% for top-1 and mAP, respectively. The results indicate that MGAC is an effective person re-identification network and that the attention mechanisms and cosine distance can significantly increase the person re-identification accuracy.
Minimally Invasive versus Open Distal Pancreatectomy in the 2020s: Recent Institutional Experience and a Narrative Review of Current Evidence
Authors: Rehman Saad , Patel Ishaan , Bartlett David , Mirza Darius
Published: October 2023

(1) Background: Distal pancreatectomy is a standard treatment for tumours of the pancreatic body and tail. Minimally invasive techniques for all types of pancreatic tumours (benign and malignant) are being established, while concerns regarding oncological safety, cost effectiveness and learning curves are being explored with prospective studies. This paper presents our unit’s data in the context of the above concerns and provides a relevant narrative review of the current literature. (2) Methods: Data were collected retrospectively between 2014 and 2021 for all adult patients who underwent elective distal pancreatectomy in our tertiary care referral HPB Unit. Data on demographics, underlying pathology, perioperative variables and post-operative complications were collected and reported using descriptive statistics. On review of the Miami guidelines, four important but less validated areas regarding distal pancreatectomy are presented in light of the current evidence; these are recent randomised controlled trials, oncological safety, cost effectiveness and learning curves in minimally invasive distal pancreatectomy (MIDP). (3) Results: 207 patients underwent distal pancreatectomy in total from 2014–2021, with 114 and 93 patients undergoing open and minimally invasive techniques, respectively. 44 patients were operated on for PDAC in the open vs. 17 in the minimally invasive group. The operative time was 212 min for the open and 248 min for the minimally invasive group. The incidence of pancreatic fistula was higher in the minimally invasive group vs. the open group (16% vs. 4%). (4) Conclusions: Our unit’s data conform with the published literature, including three randomised control trials. These published studies will not only pave the way for establishing minimally invasive techniques for suitable patients, but also define their limitations and indications. Future studies will inform us about the oncological safety, cost effectiveness, overall survival and learning curves regarding patients undergoing minimally invasive distal pancreatectomy.
Application of Fe-MOFs in Photodegradation and Removal of Air and Water Pollutants: A Review
Authors: Cai Jun , Peng Yang , Jiang Yanxin , Li Li , Wang Hua , Li Kongzhai
Published: October 2023

Photocatalytic technology has received increasing attention in recent years. A pivotal facet of photocatalytic technology lies in the development of photocatalysts. Porous metal–organic framework (MOF) materials, distinguished by their unique properties and structural characteristics, have emerged as a focal point of research in the field, finding widespread application in the photo-treatment and conversion of various substances. Fe-based MOFs have attained particular prominence. This review explores recent advances in the photocatalytic degradation of aqueous and gaseous substances. Furthermore, it delves into the interaction between the active sites of Fe-MOFs and pollutants, offering deeper insights into their mechanism of action. Fe-MOFs, as photocatalysts, predominantly facilitate pollutant removal through redox processes, interaction with acid sites, the formation of complexes with composite metal elements, binding to unsaturated metal ligands (CUSs), and hydrogen bonding to modulate their respiratory behavior. This review also highlights the focal points of future research, elucidating the challenges and opportunities that lie ahead in harnessing the characteristics and advantages of Fe-MOF composite catalysts. In essence, this review provides a comprehensive summary of research progress on Fe-MOF-based catalysts, aiming to serve as a guiding reference for other catalytic processes.
Exploring DSSC Efficiency Enhancement: SQI-F and SQI-Cl Dyes with Iodolyte Electrolytes and CDCA Optimization
Authors: Al-horaibi Sultan A. , Al-Odayni Abdel-Basit , ALSaeedy Mohammed , Al-Ostoot Fares Hezam , Al-Salihy Adel , Alezzy Abdulmajeed , Al-Adhreai Arwa , Saif Faizaa A. , Yaseen Salama A. , Saeed Waseem Sharaf
Published: October 2023

This investigation delves into the potential use of halogen bonding to enhance both the short-circuit current (JSC) and overall efficiency of dye-sensitized solar cells (DSSCs). Specifically, we synthesized two distinct dyes, SQI-F and SQI-Cl, and characterized them using FT-IR, 1HNMR, 13C NMR, and mass spectroscopy. These dyes are based on the concept of incorporating halogen atoms within unsymmetrical squaraine structures with a donor–acceptor–donor (D-A-D) configuration. This strategic design aims to achieve optimal performance within DSSCs. We conducted comprehensive assessments using DSSC devices and integrated these synthesized dyes with iodolyte electrolytes, denoted as Z-50 and Z-100. Further enhancements were achieved through the addition of CDCA. Remarkably, in the absence of CDCA, both SQI-F and SQI-Cl dyes displayed distinct photovoltaic characteristics. However, through sensitization with three equivalents of CDCA, a significant improvement in performance became evident. The peak of performance was reached with the SQI-F dye, sensitized with three equivalents of CDCA, and paired with iodolyte Z-100. This combination yielded an impressive DSSC device efficiency of 6.74%, an open-circuit voltage (VOC) of 0.694 V, and a current density (JSC) of 13.67 mA/cm2. This substantial improvement in performance can primarily be attributed to the presence of a σ-hole, which facilitates a robust interaction between the electrolyte and the dyes anchored on the TiO2 substrate. This interaction optimizes the critical dye regeneration process within the DSSCs, ultimately leading to the observed enhancement in efficiency.
Detection of Various Traditional Chinese Medicinal Metabolites as Angiotensin-Converting Enzyme Inhibitors: Molecular Docking, Activity Testing, and Surface Plasmon Resonance Approaches
Authors: Wu Qixin , Jiao Yue , Luo Mingzhu , Wang Jingyi , Li Jingzhe , Ma Yanyan , Liu Changzhen
Published: October 2023

Angiotensin-converting enzyme 1 (ACE1) is a peptide involved in fluid and blood pressure management. It regulates blood pressure by converting angiotensin I to angiotensin II, which has vasoconstrictive effects. Previous studies have shown that certain compounds of natural origin can inhibit the activity of angiotensin-converting enzymes and exert blood pressure-regulating effects. Surface Plasmon Resonance (SPR) biosensor technology is the industry standard method for observing biomolecule interactions. In our study, we used molecular simulation methods to investigate the docking energies of various herbal metabolites with ACE1 proteins, tested the real-time binding affinities between various herbal metabolites and sACE1 by SPR, and analyzed the relationship between real-time binding affinity and docking energy. In addition, to further explore the connection between inhibitor activity and real-time binding affinity, several herbal metabolites′ in vitro inhibitory activities were tested using an ACE1 activity test kit. The molecular docking simulation technique’s results and the real-time affinity tested by the SPR technique were found to be negatively correlated, and the virtual docking technique still has some drawbacks as a tool for forecasting proteins′ affinities to the metabolites of Chinese herbal metabolites. There may be a positive correlation between the enzyme inhibitory activity and the real-time affinity detected by the SPR technique, and the results from the SPR technique may provide convincing evidence to prove the interaction between herbal metabolites and ACE1 target proteins.
A Hybrid Evolutionary Algorithm for Multi-Stage Workshop Sequencing in Car Production
Authors: Chen Cuimei , Liu Jun , Liu Jia
Published: October 2023

During the car production process, diverse production workshops have distinct prerequisites for car body sequencing. This results in the intricate nature of sequencing within multi-stage car workshops. In this study, an optimization method for car body sequencing is proposed that combines a hybrid evolutionary algorithm with heuristic rules. In the welding workshop, a genetic algorithm is employed to optimize the vehicle sequencing. Simultaneously, a differential evolution algorithm is used to optimize the inbound sequence of the buffer zone between the welding and painting workshops, as well as the inbound sequence of the buffer zone between the painting and assembly workshops. Heuristic rules are applied to optimize the outbound sequence of the buffer zone between the welding and painting workshops, as well as the outbound sequence of the buffer zone between the painting and assembly workshops. In addition, in order to improve the quality of the initial population, a heuristic method-based initial population construction method is proposed. The optimization objectives are the number of vehicle model changes in the welding workshop, the number of color changes in the painting workshop, and the total number of overloads in the assembly workshop. The experimental results show that the proposed method performs better than the five outstanding evolutionary algorithms.
Methodology of rationing technologies for solving managerial tasks in economic systems
Authors: Gerasimov B.
Published: October 2023

The study and construction of attributes of processes and subprocesses of management in economic systems allowed us to determine their place and role in the structure of organizations' activities. The practice of managing various objects in social and economic environments made it possible to identify and justify the composition and content of management tasks: input and output information, transformation procedures, as well as methodological tools to support their implementation. Empirical studies of the attributes of management tasks in various processes and subprocesses have revealed the relationship between the complexity of these attributes and the complexity of their implementation in problem-solving technologies. The application of this methodology for the design and reform of management attributes allowed us to move to a scientifically based rationing of the complexity of implementing management tasks, which, in turn, determines the quality and cost of process management at all stages of the functioning and development of organizations.
Investigation of anomalies in federal budget revenues
Authors: Sternik S.
Published: October 2023

Studies of abnormal values play an important role in understanding the generating processes and are one of the key ones in financial analysis and forecasting. This article is devoted to the study of anomalies in federal budget revenues. Based on statistical data for the period from 2008 to 2022, abnormal values of budget revenues in different time periods were revealed using statistical models and machine learning methods, their advantages and disadvantages are shown. Practical recommendations on the use of machine learning methods to identify anomalies in the field of public finance are given.
On a possible determination of the frame bounds
Authors: Cătinaş Daniela
Published: October 2023

Not available.
The concavity of some special functions
Authors: Duca Dorel I.
Published: October 2023

Not available.
La méthode du Lagrangien augmenté pour une probleme d'interaction fluide-structure
Authors: Murea Cornel Marius
Published: October 2023

In [3, p. 91] is presented a not-conditionally stable numerical method for solving a time-depend fluid structure interaction problem. This method consists in solving at each time step the mixed hybrid system (1) and to find out: \(v\) the velocity of the fluid, \(\nu \) the velocity of the structure, \(p\) the pressure of the fluid and \(\lambda \) the force on the fluid-structure interface.

In order to solve the system (1), we can use many algorithms just like: Uzawa's algorithm or the Augmented Lagrangien Method, but these algorithms don't permit to solve the fluid-structure problem in a decoupled way (via partitioned procedures), more exactly the fluid and structure problems are not solved separately.

Consequently, we can't use the well established theories and software for the fluid and respectively for the structure.  Alternatively, we can use the iterative method presented in [4] in order to solve the fluid-structure linear system via partitioned procedures. Unfortunely, this method converges slowly.

Based on the method used in [4], we present in this paper an augmented algorithm, where the continuity of the fluid and structure velocities on the contact surface is penalized in order to improve the convergence rate.Numerically, the continuity of the fluid and structure velocities on the contact surface has the form \(B_{21}v + B_{22}\nu =0\).

The convergence of the method is proved in the third section.
The optimal efficiency index of a class of Hermite iterative methods with two steps
Authors: Păvăloiu Ion
Published: October 2023

Not available.
Degenerated Hopf bifurcation in the Fitzhugh-Nagumo system. 2. Bautin bifurcation
Authors: Rocşoreanu Carmen , Giurgiţeanu Nicolaie , Georgescu Adelina
Published: October 2023

The results on the Hopf bifurcation obtained in [1] are completed with those concerning the degenerated Hopf bifurcation of Bautin type. They are deduced by normal forms technique and concern a biodynamical system related with Van der Pol oscillator. Numerical investigations carried out by methods from [2] are also reported.
Convex functions of order n on undirected networks
Authors: Marian Daniela
Published: October 2023

In this paper we introduce the convex (nonconcave, polynomial, nonconvex, respective concave) functions of order \(n\) on undirected networks. We study some properties of them. Finally we frame these functions in allure theory introduced by E. Popoviciu (1983). We adopt the definition of network as metric space introduced by P. M. Dearing and R. L. Francis (1974).
Some remarks concerning norm preserving extensions and best approximations
Authors: Mustăţa Costică
Published: October 2023

Not available.
Vectorial optimization in locally convex spaces ordered by supernormal cones and extensions
Authors: Postolică Vasile
Published: October 2023

Not available.
Zur Interpolation Gestreuter Daten
Authors: Scheffold Egon
Published: October 2023

Not available.
Induced convexity and the problem of the induced best approximation
Authors: Lupşa Liana , Cristescu Gabriela
Published: October 2023

In this paper the problem of the "induced best approximation of an element" of an arbitrary set X by elements of an induced seg-convex subset A of X is discussed.
Hommage à la mémoire de Tiberiu Popoviciu
Authors: Popoviciu Elena
Published: October 2023

On evoque l'activite scientique de l'academicien Tiberiu Popoviciu le fondateur de l'Institut de Calcul de Cluj-Napoca de l'Academie Roumaine et le fondateur de l'Ecole Mathematique Roumaine d'Analyse Numerique.
Stancu modified operators revisited
Authors: Agratini Octavian
Published: October 2023

In this paper we construct a general positive approximation process representing an integral form in Kantorovich sense of the Stancu operators. By using K-functionals and some moduli of smoothness we give direct theorems for pointwise approximation. Also, by using the contraction principle we reobtain the convergence of the iterates of Stancu polynomials.
Homogeneous numerical cubature formulas of interpolatory type
Authors: Coman Gheorghe , Solomon Maria
Published: October 2023

In this paper we construct homogeneous numerical cubature formulas based on some numerical multivariate interpolation schemes.
On an approximation operator and its Lipschitz constant
Authors: Crăciun Maria
Published: October 2023

In this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a delta operator and a Sheffer sequence for the same delta operator. We give a convergence theorem for this operator and we find its Lipschitz constant.
Generalized quasiconvex set-valued maps
Authors: Popovici Nicolae
Published: October 2023

The aim of this paper is to introduce a concept of quasiconvexity for set-valued maps in a general framework, by only considering an abstract convexity structure in the domain and an arbitrary binary relation in the codomain. It is shown that this concept can be characterized in terms of usual quasiconvexity of certain real-valued functions. In particular, we focus on cone-quasiconvex set-valued maps with values in a partially ordered vector space.
Un important anniversaire pour la science roumaine
Authors: Popoviciu Elena
Published: October 2023

We evocate the foundation, in 1957, of the Institute of Numerical Analysis in Cluj-Napoca, by Tiberiu Popoviciu. We underline the research programme of the Institute and the main results obtained here.
On the optimal selection of the relaxation constant in the JOR method
Authors: Lakić Slobodan , Szidarovszky Ferenc
Published: October 2023

In this paper we suggest a method for the quasi-optimal selection of the relaxation constant in the Jacobi overrelaxation (JOR) method. It is assumed that the eigenvalues of the coefficient matrix belong to a rectangular region. Our estimates may lead to better parameter choices than earlier results on circular regions.
A convergence analysis of an iterative algorithm of order \(1.839\ldots\) under weak assumptions
Authors: Argyros Ioannis K.
Published: October 2023

We provide new and weaker sufficient local and semilocal conditions for the convergence of a certain iterative method of order 1.839\(\ldots\) to a solution of an equation in a Banach space. The new idea is to use center-Lipschitz/Lipschitz conditions instead of just Lipschitz conditions on the divided differences of the operator involved. This way we obtain finer error bounds and a better information on the location of the solution under weaker assumptions than before.
Fisher's information measures and truncated normal distributions (II)
Authors: Mihoc Ion , Fătu Cristina Ioana
Published: October 2023

The aim of this paper is to give some properties for the Fisher

information measure when a random variable \(X\) follows a truncated

probability distribution. A truncated probability distribution

can be regarded as a conditional probability distribution, in the

sense that if \(X\) has an unrestricted distribution with the

probability density function \(f(x), \) then \(f_{a\leftrightarrow

b}(x)\) is the probability density function which governs the

behavior of \(X\), subject to the condition that \(X\) is known to lie

in \([a,b]\).
On the flow of a thin liquid layer in an inclined channel of triangular transverse section driven by a surface tension gradient. Numerical and asymptotic analysis
Authors: Petrila Titus , Borşa Emilia
Published: October 2023

In this paper we investigate the locally unidirectional flow of a thin liquid layer confined to an inclined channel driven simultaneously by a surface tension gradient.
Efficiency and generalized concavity for multi-objective set-valued programming
Authors: Ţigan Ş. , Stancu-Minasian I.M.
Published: October 2023

The purpose of this paper is to give sufficient conditions of generalized concavity type for a local (weakly) efficient solution to be a global (weakly) efficient solution for a vector maximization set-valued programming problem. In the particular case of the vector maximization set-valued fractional programming problem, we derive some characterizations properties of efficient and properly efficient solutions based on a parametric procedure associated to the fractional problem.
Combined Shepard operators with Chebyshev nodes
Authors: Oşan Cristina O. , Trîmbitaş Radu T.
Published: October 2023

In this paper we study combined Shepard-Lagrange univariate interpolation operator\[S_{n,\mu}^{L,m}(Y;f,x):=S_{n,\mu}^{L,m}(f,x)=\frac{\sum\limits_{k=0}^{n+1}\left\vert x-y_{n,k}\right\vert ^{-\mu}(L_{m}f)(x,y_{n,k})}{\sum\limits_{k=0}^{n+1}\left\vert x-y_{n,k}\right\vert ^{-\mu}},\]where \((y_{n,k})\) are the interpolation nodes and \((L_{m}f)(x;y_{n,k})\) is the Lagrange interpolation polynomial with nodes \( y_{n,k},\, y_{n,k+1}, \, y_{n,k+2}, \ldots, \, y_{n,k+m} \), when the interpolation nodes \((y_{n,k})_{k=\overline{1,n}}\) are the zeros of first kind Chebyshev polynomial completed with \(y_{n,0}=-1\)and \(y_{n,n+1}=1\). We give a direct proof for error estimation and some numerical examples.
Condensation of the singularities in the theory of operator ideals
Authors: Antonescu Cristina , Breckner Wolfgang W.
Published: October 2023

In the present paper there are given some applications of the principle of condensation of the singularities of families of nonnegative functions established by W. W. Breckner in 1984. They reveal Baire category information on certain subsets of a normed linear space \(X\) of the second category that are defined by means of an inequality of the type \(f(x)<\infty\), where \(f\) is a given function from \(X\) to \([0,\infty]\). Sets of this type occur frequently in the theory of operator ideals. They are constructed individually by using entropy or approximation numbers of operators. By specializing the general results given in the paper it follows that such operator sets are of the first category, while their complements are residual \(G_\delta\)-sets, of the second category, uncountable and dense.
The abstract, multidimensional varieties and their classification
Authors: Bujac Mariana , Soltan Petru
Published: October 2023

We define abstract multidimensional variety without borders, using the investigation of the complex of multi-ary relations (H. Martini and P. Soltan, 2003 [3]) and the notion of compact, combinatorial, multidimensional variety without borders (V. G. Boltyanski and V. A. Efrimovici, 1982 [1]). We indicate the classification of this kind of varieties similarly to the results of classification of compact, two-dimensional surfaces without borders (V. G. Boltyanski and V. A. Efrimovici, 1982 [1]). We use varieties' genders (modulo Euler characteristic (V. G. Boltyanski, 1995 [2])) to classify them.
Minisum location problems in directed networks
Authors: Marian Daniela
Published: October 2023

We study some location problems in directed networks: we define circular medians and p-circular medians, \(p>1\). We present an algorithm for establishing circular medians. We adopt the definition of network as metric space in the sense of Dearing and Francis (1974).
Least squares problem for linear inequalities with bounds on the variables
Authors: Popescu Elena
Published: October 2023

In [2] S.P. Han proposed a method for finding a least-squares solution for systems of linear inequalities. Additional information about the real world problem may take the form of additional inequalities. A common case is when the variables are restricted to lie in certain prescribed intervals. A method for this very important case is the subject of this paper.
Estimates for the semigroup associated with Bernstein operators
Authors: Raşa Ioan
Published: October 2023

Let \((T(t))_{t\ge 0}\) be the semigroup associated with the classical Bernstein operators. We present some quantitative results concerning the behavior of \(T(t)\) as \(t\to 0\),respectively \(t\to \infty \).
Local-global efficiency properties for multiobjective max-min programming
Authors: Ţigan Ştefan , Stancu-Minasian Ioan M.
Published: October 2023

The purpose of this paper is to give sufficient conditions of generalized concavity and convexity type for a local (weakly) max-min efficient solution to be a global (weakly) max-min efficient solution for an vector maxmin programming problem.   In the particular case of the vector max-min pseudomonotonic programming problem{}, we derive some characterizations properties of max-min efficient and properly max-min efficient solutions .
A semilocal convergence analysis for the method of tangent parabolas
Authors: Argyros Ioannis K.
Published: October 2023

We present a semilocal convergence analysis for the method of tangent parabolas (Euler-Chebyshev) using a combination of Lipschitz and center Lipschitz conditions on the Fréchet derivatives involved. This way we produce a majorizing sequence which converges under weaker conditions than before. The error bounds obtained are more precise and the information of the location of the solution better than in earlier results.
Approximation properties of a bivariate Stancu type operator
Authors: Bărbosu Dan
Published: October 2023

An extension of Stancu's operator \(P_{m}^{(\alpha ,\beta )}\) to the case of bivariate functions is presented and some approximation properties of this operator are discussed.
Some remarks on Hilbert's integral inequality
Authors: Marangunić Lj. , Pečarić J.
Published: October 2023

A generalization of the well-known Hilbert's inequality is given. Several other results of this type obtained in recent years follow as a special case of our result.
The generalization of Voronovskaja's theorem for a class of linear and positive operators
Authors: Pop Ovidiu T.
Published: October 2023

In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
On some inequalities for the approximation numbers of the sum and product of operators
Authors: Tiţa Nicolae
Published: October 2023

We prove the inequalities:\begin{equation}\textstyle\sum\limits_{n=1}^{k} a_{n} \left(\textstyle\sum\limits_{i=1}^{r} S_{i}\right) \le r\textstyle\sum\limits_{n=1} ^{k}\, \textstyle\sum\limits_{i=1}^{r}a_{n}(S_{i}),\end{equation}\begin{equation}\textstyle\sum\limits_{n=1}^{k} a_{n}\left(\textstyle\prod\limits_{i=1}^{r} S_{i}\right) \leq r\textstyle\sum\limits_{n=1}^{k} \textstyle\prod\limits_{i=1}^{r}a_{n}(S_{i})\;,\;k=1,2,...,\;\;r\geq2,\end{equation}and\begin{equation}\textstyle\prod\limits_{n=1}^{k} a_{n}\left(\textstyle\prod\limits_{i=1}^{r} S_{i}\right)\leq\textstyle\prod\limits_{n=1}^{k}\textstyle\prod\limits_{i=1}^{r}a_{n}^{r}(S_{i})\;,\;k=1,2,...,\;\;\;r \geq2,\end{equation}where \(\left\{ a_{n}(S)\right\} \;\) is the sequence of the approximation numbers of the linear and bounded operators \(S: X\rightarrow X\) \((S\in L(X))\). \(X\) is a Banach space.
Bidimensional interpolation operators of finite element type and degree of exactness two
Authors: Roşca Daniela
Published: October 2023

For a given arbitrary triangulation of \(\mathbb R^2\), we construct an interpolating operator which is exact for the polynomials in two variables of total degree \(\leq 2\). This operator is local, in the sense that the information around an interpolation node is taken from a small region around this point. We study the remainder of the interpolation formula.
Refinements of Jensen-Mercer's inequality for index set functions with applications
Authors: Matković Anita , Pečarić Josip
Published: October 2023

Some refinements of Jensen-Mercer's inequality are presented. They are used to refine few inequalities among various means of Mercer's type, and they are further generalized for linear functionals.
Differentiability with respect to a parameter for a Lotka-Volterra system with delays, via step method
Authors: Otrocol Diana
Published: October 2023

In this paper, using the step method, we establish the differentiability with respect to parameter for a Lotka-Volterra system with two delays.
Errors estimation for implicit Mann iteration
Authors: Şoltuz Ştefan M.
Published: October 2023

We study the errors estimation for the implicit Mann iteration..
\(A\)-statistical convergence for a class of positive linear operators
Authors: Özarslan M. A. , Duman O. , Doğru O.
Published: October 2023

In this paper we introduce a sequence of positive linear operators defined on the space \(C[0,a]\) \((0<a<1)\) and provide an approximation theorem for these operators via the concept of \(A\)-statistical convergence. We also compute the rates of convergence of these approximation operators by means of the first and second order modulus of continuity and the elements of the Lipschitz class. Furthermore, by defining the generalization of \(r\)-th order of these operators we show that the similar approximation properties are preserved on \(C[0,a].\)
The equivalence between the Krasnoselskij, Mann and Ishikawa iterations
Authors: Rhoades B. E. , Şoltuz Ştefan M.
Published: October 2023

We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converges, for certain classes of strongly pseudocontractive mappings.
Weaker conditions for the convergence of Newton-like methods
Authors: Argyros Ioannis K.
Published: October 2023

We provide a semilocal convergence analysis for a certain class of Newton-like methods for the solution of a nonlinear equation containing a non differentiable term. Our approach provides: weaker sufficient conditions; finer error bounds on the distances involved; a more precise information on the location of the solution than before, and under the same computational cost.
Kovarik's function orthogonalization algorithm with approximate inversion
Authors: Popa Constantin
Published: October 2023

Z. Kovarik proposed in 1970 a method for approximate orthogonalization of a finite set of linearly independent vectors from a Hilbert space. This method uses at each iteration a symmetric and positive definite matrix inversion. In this paper we describe an algorithm in which the above matrix inversion step is replaced by an arbitrary odd degree polynomial matrix expression. We prove that this new algorithm converges to the same orthonormal set of vectors as the original Kovarik's method. Some numerical experiments presented in the last section of the paper show us that, even for small degree polynomial expressions the convergence properties of the new algorithm are comparable with those of the original one.
On the asymptotics of orthogonal polynomials on the curve with a denumerable mass points
Authors: Rabah Khaldi , Fateh Aggoune
Published: October 2023

We investigate the asymptotic behavior of orthogonal polynomials with respect to a measure of the type \(\sigma =\alpha +\gamma \), where \(\alpha \) is a measure concentrated on a rectifiable Jordan curve and \(\gamma \) is an infinite discrete measure.
Best uniform approximation of semi-Lipschitz functions by extensions
Authors: Mustăţa Costică
Published: October 2023

In this paper we consider the problem of best uniform approximation of a real valued semi-Lipschitz function \(F\) defined on an asymmetric metric space \((X,d),\) by the elements of the set \(\mathcal{E}_{d}(\left. F\right\vert _{Y})\) of all extensions of \(\left.F\right\vert _{Y}\) \((Y\subset X),\) preserving the smallest semi-Lipschitz constant. It is proved that this problem has always at least a solution, if \((X,d)\) is \((d,\overline{d})\)-sequentially compact, or of finite diameter.
Classical results via Mann-Ishikawa iteration
Authors: Şoltuz Ştefan M. , Otrocol Diana
Published: October 2023

New proofs of existence and uniqueness results for the solution of the Cauchy problem with delay are obtained by use of Mann-Ishikawa iteration.
Solving equations using Newton's method under weak conditions on Banach spaces with a convergence structure
Authors: Argyros Ioannis K.
Published: October 2023

We provide new semilocal results for Newton's method on Banach spaces with a convergence structure. Using more precise majorizing sequence we show that, under weaker convergence conditions than before, we can obtain finer error bounds on the distances involved and a more precise information on the location of the solution.
Numerical methods for solving unimodal multiple criteria optimization problems - a synthesis
Authors: Lupşa Liana , Chiorean Ioana
Published: October 2023

In this paper we give a general method to approximate the set of all efficient solutions and the set of all weakly-efficient solutions for a multiple criteria optimization problem involving generalized unimodal objective functions on the feasible sets. This type of problems appear frequently in Economy, Mathematics, sometimes in Medico-Economics studies, etc.