bluuebunny/crossref_metadata_2025 huggingface dataset:
Influence of Organizational Ambidextrous Culture in Manufacturing Enterprises on Service Innovation Performance
Authors: Sun Mengdi , Zhao Xiaoyu
Published: October 2023

With the development of the service economy, the service-oriented transformation of the manufacturing industry has become a crucial strategy pursued by major manufacturing enterprises globally. They must constantly innovate their services and provide customers with comprehensive solutions to succeed in a dynamic market environment. Improving service innovation performance becomes a key element. Based on the service-dominant logic, this paper analyzes the organizational ambidextrous culture in the manufacturing industry’s service transformation. A theoretical model is established with ambidextrous culture as the independent variable, service innovation performance as the dependent variable, external collaboration and internal collaboration as the mediating variables, and environmental uncertainty as the moderating variable. This study examines how an ambidextrous culture affects service innovation in manufacturing companies based on data from firms engaged in service innovation. By using the structural equation modeling for hypothesis testing, SPSS and AMOS version 23.0 software for analyzing, the following conclusions are obtained: first, organizational ambidextrous culture has a significant positive impact on service innovation performance; second, external collaboration and internal collaboration play mediating roles in the relationship between ambidextrous culture and service innovation performance; third, environmental uncertainty positively moderates the relationship between ambidextrous culture, internal and external collaboration, and service innovation performance.
Microplastics Residence Time in Marine Copepods: An Experimental Study
Authors: Uddin Saif , Behbehani Montaha , Habibi Nazima , Fowler Scott W. , Al-Sarawi Hanan A. , Alonso-Hernandez Carlos
Published: October 2023

Microplastics are ubiquitous in aquatic environments, and in most marine environments, copepods are the main metazoans. The ingestion of microplastics by zooplankton is linked to various stresses, including oxidative stress, reduced reproductive capacities, and even mortality in nauplii. Microplastics are also reported to serve as vectors for hydrophobic contaminants. Our experimental results highlight that the retention and contact time of microplastics in copepods is quite short. The experimental results show that Parvocalanus crassirostis and Acartia pacifica defecated 75–84% and 61–71% of ingested microplastics within 60 min of ingestion. The observation raises several questions on the hypothesis of microplastic toxicity and ecological stresses: would a 180-minute contact time result in acute toxicity reported by various workers? An interesting observation was that these two copepod species did not consume microplastics larger than 50 µm in size. Considering this fact, inventories of smaller microplastics might be more important for assessing the ecological effects of MP ingestion among primary consumers in the marine food chain. Another important aspect that this study highlights is the likely change in faecal pellet sinking velocities due to the incorporation of MPs, and faecal pellets are probably efficient vectors for MP transport in the aquatic environment.
Few-Shot Learning Approaches for Fault Diagnosis Using Vibration Data: A Comprehensive Review
Authors: Liang Xiaoxia , Zhang Ming , Feng Guojin , Wang Duo , Xu Yuchun , Gu Fengshou
Published: October 2023

Fault detection and diagnosis play a crucial role in ensuring the reliability and safety of modern industrial systems. For safety and cost considerations, critical equipment and systems in industrial operations are typically not allowed to operate in severe fault states. Moreover, obtaining labeled samples for fault diagnosis often requires significant human effort. This results in limited labeled data for many application scenarios. Thus, the focus of attention has shifted towards learning from a small amount of data. Few-shot learning has emerged as a solution to this challenge, aiming to develop models that can effectively solve problems with only a few samples. This approach has gained significant traction in various fields, such as computer vision, natural language processing, audio and speech, reinforcement learning, robotics, and data analysis. Surprisingly, despite its wide applicability, there have been limited investigations or reviews on applying few-shot learning to the field of mechanical fault diagnosis. In this paper, we provide a comprehensive review of the relevant work on few-shot learning in mechanical fault diagnosis from 2018 to September 2023. By examining the existing research, we aimed to shed light on the potential of few-shot learning in this domain and offer valuable insights for future research directions.
Evaluation of Embodied Carbon Emissions in UK Supermarket Constructions: A Study on Steel, Brick, and Timber Frameworks with Consideration of End-of-Life Processes
Authors: Blay-Armah Augustine , Mohebbi Golnaz , Bahadori-Jahromi Ali , Fu Charlie , Amoako-Attah Joseph , Barthorpe Mark
Published: October 2023

Buildings and the construction sector as a whole are among the chief emitters of carbon, and the structural system of a building contributes substantially to its embodied carbon emissions. Whereas extensive studies exist into carbon missions, a detailed evaluation of real multipart building systems in brick, steel, and timber (glulam) substitutes is lacking. This paper employs whole-life-embedded carbon as a sustainability metric to compare a current UK supermarket building system of steel, brick, and timber. Four construction systems by the supermarket, referred to as CS1, CS2, CS3, and CS4, are used in the investigation. Comparisons are also made between two end-of-life treatment methods (recycle and landfill) along with the benefits that can be realised in future construction projects. The outcome from the comparative assessment reveals that there are minor variations in the embodied carbon of building systems used by the supermarket. CS4, while currently presenting marginal gains (approximately 148,960.68 kgCO2eq.) compared to CS1, loses its advantages when recycled contents for future construction projects are considered. The result indicates that CS4 generates about 18% less carbon emission reduction potential than CS1, whilst CS3 generates approximately 16% less than CS1. The findings of this article can enhance the knowledge of embodied carbon estimation and reduction capabilities of timber, steel, and brick buildings. Also, the detailed method for quantifying embodied carbon used in this article can be adopted in similar projects around the world.
Financing Green Infrastructure in Schools: A Case Study in Austria
Authors: Teichmann Florian , Korjenic Azra , Sreckovic Marijana , Veit Hannes , Hartmann Dominik
Published: October 2023

Despite the positive effects of green infrastructure on people and the environment, it is still rarely integrated in public facilities such as schools. The main reason for this is a lack of knowledge about financing options. To fill this gap, the research project MehrGrüneSchulen (Engl.: More Green Schools) develops financing scenarios for green infrastructure in Austrian schools. This case study describes these developed scenarios, which use the principles of crowdsourcing and crowdfunding as well as the newly named principle of chain building. The idea of chain building is to motivate schools that have already successfully financed and built a low-cost greening system to present this process to another school in such a way that they are able to do the same themselves and eventually explain the process to a further school to continue this chain reaction. For the proposed funding scenarios to be effective, there is a need for innovation in education, with a focus on inter-school participation and networking. For this reason, the possible synergies of an online networking platform are discussed, which would help to connect schools and thus further improve the impact of the proposed fundraising processes.
AI in Thyroid Cancer Diagnosis: Techniques, Trends, and Future Directions
Authors: Habchi Yassine , Himeur Yassine , Kheddar Hamza , Boukabou Abdelkrim , Atalla Shadi , Chouchane Ammar , Ouamane Abdelmalik , Mansoor Wathiq
Published: October 2023

Artificial intelligence (AI) has significantly impacted thyroid cancer diagnosis in recent years, offering advanced tools and methodologies that promise to revolutionize patient outcomes. This review provides an exhaustive overview of the contemporary frameworks employed in the field, focusing on the objective of AI-driven analysis and dissecting methodologies across supervised, unsupervised, and ensemble learning. Specifically, we delve into techniques such as deep learning, artificial neural networks, traditional classification, and probabilistic models (PMs) under supervised learning. With its prowess in clustering and dimensionality reduction, unsupervised learning (USL) is explored alongside ensemble methods, including bagging and potent boosting algorithms. The thyroid cancer datasets (TCDs) are integral to our discussion, shedding light on vital features and elucidating feature selection and extraction techniques critical for AI-driven diagnostic systems. We lay out the standard assessment criteria across classification, regression, statistical, computer vision, and ranking metrics, punctuating the discourse with a real-world example of thyroid cancer detection using AI. Additionally, this study culminates in a critical analysis, elucidating current limitations and delineating the path forward by highlighting open challenges and prospective research avenues. Through this comprehensive exploration, we aim to offer readers a panoramic view of AI’s transformative role in thyroid cancer diagnosis, underscoring its potential and pointing toward an optimistic future.
EBV Impact in Peripheral Macrophages’ Polarization Cytokines in Pediatric Patients
Authors: Moyano Agustina , Ferressini Gerpe Natalia , Amarillo Maria Eugenia , De Matteo Elena , Preciado Maria Victoria , Caldirola Maria Soledad , Chabay Paola
Published: October 2023

Macrophages are exceptionally flexible cells. The presence of inflammatory cytokines such as IFN-γ and TNF-α results in an M1 (CD68) activation, while cytokines such as IL-10 or TGF-β induce the M2 (CD163) activation. Our aim was to study the behavior of peripheral cytokines involved in macrophage polarization and relate them with tissue findings to further comprehend the role of macrophages in EBV pediatric infection. We studied cytokine expression in tonsils and peripheral blood samples of children in different stages of infection. Peripheral cytokines were compared with macrophage polarization markers and viral protein expression in tonsils. Only IL-10 showed a negative correlation between compartments, exclusively in patients undergoing viral reactivation (R). Higher expressions of peripheral IL-1β, IL-23, and IL-12p40 in R children were observed. Lower expressions of local and peripheral TNF-α in patients with broader expressions of latent and lytic viral proteins were demonstrated. In healthy carrier (HC) patients, IL-23 positively correlated with CD163, and IP-10 positively correlated with CD68. Our results indicated that EBV might modulate antigen expression in the presence of TNF-α and influence peripheral cytokine expression differently in each stage of infection. Moreover, peripheral cytokines might have a particular role in macrophage polarization in HC.
Transcriptome Analysis of Peritoneal Cells Reveals the Early Immune Response of Flounder (Paralichthys olivaceus) to Inactivated Vibrio anguillarum Immunization
Authors: Meng Xianghu , Chi Heng , Zhang Zuobing , Li Qian , Sheng Xiuzhen , Tang Xiaoqian , Xing Jing , Zhan Wenbin
Published: October 2023

Vibrio anguillarum (V. anguillarum) is a bacterium that seriously harms flounder and other aquaculture species. Vaccination is an effective means of preventing vibriosis and is mainly administered by intraperitoneal injection. Effective antigen processing at the initial stage of immunization is essential to elicit adaptive immune responses and improve vaccine efficacy. To understand the early immune response of flounder caused by inactivated V. anguillarum, we detected the transcriptome profiles of the cells in the peritoneal cavity (PoPerCs) after inactivated V. anguillarum immunization. More than 10 billion high-quality reads were obtained, of which about 89.33% were successfully mapped to the reference genome of flounder. A total of 1985, 3072, 4001, and 5476 differentially expressed genes were captured at 6, 12, 24, and 48 h post immunization, respectively. The hub module correlated with the immunization time was identified by WGCNA. GO and KEGG analysis showed that hub module genes were abundantly expressed in various immune-related aspects, including the response to stimuli, the immune system process, signal transducer activity, autophagy, the NOD-like receptor signaling pathway, the toll-like receptor signaling pathway, the T cell receptor signaling pathway, and Th17 cell differentiation. Additionally, genes related to Th cell differentiation are presented as heatmaps. These genes constitute a complex immune regulatory network, mainly involved in pathogen recognition, antigen processing and presentation, and Th cell differentiation. The results of this study provide the first transcriptome profile of PoPerCs associated with inactivated V. anguillarum immunity and lay a solid foundation for further studies on effective V. anguillarum vaccines.
IV BCG Vaccination and Aerosol BCG Revaccination Induce Mycobacteria-Responsive γδ T Cells Associated with Protective Efficacy against M. tb Challenge
Authors: Morrison Alexandra L. , Sarfas Charlotte , Sibley Laura , Williams Jessica , Mabbutt Adam , Dennis Mike J. , Lawrence Steve , White Andrew D. , Bodman-Smith Mark , Sharpe Sally A.
Published: October 2023

Intravenously (IV) delivered BCG provides superior tuberculosis (TB) protection compared with the intradermal (ID) route in non-human primates (NHPs). We examined how γδ T cell responses changed in vivo after IV BCG vaccination of NHPs, and whether these correlated with protection against aerosol M. tuberculosis challenge. In the circulation, Vδ2 T cell populations expanded after IV BCG vaccination, from a median of 1.5% (range: 0.8–2.3) of the CD3+ population at baseline, to 5.3% (range: 1.4–29.5) 4 weeks after M. tb, and were associated with TB protection. This protection was related to effector and central memory profiles; homing markers; and production of IFN-γ, TNF-α and granulysin. In comparison, Vδ2 cells did not expand after ID BCG, but underwent phenotypic and functional changes. When Vδ2 responses in bronchoalveolar lavage (BAL) samples were compared between routes, IV BCG vaccination resulted in highly functional mucosal Vδ2 cells, whereas ID BCG did not. We sought to explore whether an aerosol BCG boost following ID BCG vaccination could induce a γδ profile comparable to that induced with IV BCG. We found evidence that the aerosol BCG boost induced significant changes in the Vδ2 phenotype and function in cells isolated from the BAL. These results indicate that Vδ2 population frequency, activation and function are characteristic features of responses induced with IV BCG, and the translation of responses from the circulation to the site of infection could be a limiting factor in the response induced following ID BCG. An aerosol boost was able to localise activated Vδ2 populations at the mucosal surfaces of the lung. This vaccine strategy warrants further investigation to boost the waning human ID BCG response.
Model schemes of market interaction in the dairy-products sub-complex: Regional aspect
Authors: Zdorovets Y. , Nejelchenko E. , Reshetnyak L.
Published: October 2023

Increasing the efficiency of agricultural production requires the use of modern approaches in organizing the process of interaction between market participants. At the same time, given the fact that innovative tools are used in the activities of most large and medium-sized agricultural producers, it is necessary to pay attention not only to the organization of the technological process, but also to the implementation process and organizational and economic mechanisms of interaction. Models of interaction between participants in a particular product sub-complex make it possible to determine the possibility of mutually beneficial cooperation between producers, a processor and a distribution network. In this case, the pricing process at all stages of interaction becomes relevant. In addition to the direct method of determining the price, it is advisable to use the reverse method when determining the price. These approaches make it possible to determine the most optimal variant of interaction between all participants, as well as to determine the level of efficiency and directions for optimizing costs for production and sales of products.
Special adaptation of the EOQ formula considering losses due to invested capital in inventory and vehicle load capacity
Authors: Brodetskiy G. , Gerami V. , Shidlovskii I.
Published: October 2023

This paper presents a novel specialized adaptation of the EOQ (Economic Order Quantity) formula. With this new approach, it becomes possible to account for various important characteristics within the supply process corresponding to the modern and promising conditions during inventory optimization. Key considerations include: 1) integrating the principle of the time value of money (simple interest) into supply chain models; 2) modifying the objective function to account for losses associated with capital investment, specifically those tied up in inventory, and incorporating the traditional method of recording storage costs; 3) accounting for the vehicle's load capacity/carrying capacity. This adapted EOQ formula is designed for pivotal business models centred on efficient delivery systems. In such models, the costs of successive orders and the operation of the supply chain can be offset by revenue. Therefore, this study establishes the necessary and sufficient conditions for identifying these models. The purpose of this article is to demonstrate how considering these factors during supply chain optimization can potentially further enhance efficiency.
Platform-network economy: Features of formation in Russia
Authors: Bryntsev A. , Levina E.
Published: October 2023

The purpose of the article. In the proposed work, topical issues of the development of the platform-network economy of Russia are considered, the role of digital platforms in the economic activity of economic entities is determined. The purpose of the research was to identify the features of the formation of the digital economy in general and the platform-network in particular, the analysis of the technical and technological base of industrial enterprises necessary for functioning in new "innovative" conditions. Materials and methods. The methodological basis of the conducted research consists of the works of Russian and foreign authors, regulatory documents regulating economic relations in the context of digitalization, regulating the activities of digital platforms. The authors of the article use general logical methods in their work, which include analysis and synthesis, classification and generalization, as well as general scientific and special methods: mathematical and statistical analysis to assess the level of digitalization of the country's industry, situational, systemic and structural-functional approaches to identify the features of digitalization development and the use of platform-network solutions in the economy, discourse analysis and secondary data analysis for reactualization of previously conducted research on the stated problem. Results. The authors of the article analyzed the level of digitalization of the economy and the use of digital platforms in the economic activities of economic entities. Conclusions. As a result of this research, the authors of the article formed conclusions regarding the main trends in the development of the digital economy and the transition to the platform-network stage. Application. The presented analysis and assessment of the main stages of the development of the country's digital economy and the transition to the platform-network stage allowed us to identify the key driving forces of the development of economic entities, which will be relevant both for economic scientists for the purpose of conducting further research, and for practitioners.
Modern approaches to the definition of "tax expenditures" and their impact on law enforcement practice
Authors: Mikhina E.
Published: October 2023

The article analyzes the main trends in tax expenditures and justifies the need to clarify their composition, taking into account socio-economic priorities and the implementation of state programs in modern Russia. The author has researched and analyzed the main approaches to the interpretation of the concept of "tax expenditures" used in different countries, their common features and differences have been identified. The essential issues of the implementation of the concept of tax expenditures in the framework of the budget process are outlined, controversial and problematic aspects are identified.
Goal setting in government programs in the mirror of Russian scientific literature
Authors: Bratchenko S.
Published: October 2023

Government programs are one of the most popular tools for achieving the priorities and goals of state policy in the field of socio-economic development and ensuring national security of the Russian Federation. However, the actual contribution of government programs to solving the problems of socio-economic development of the country does not always correspond to the expected one. This discrepancy has a whole range of reasons, including goal-setting in the process of developing government programs. The ultimate goal of this study is to develop recommendations for improving the quality of goal-setting in the development of government programs, and as the first step of the study, the study of scientific literature on this topic was naturally undertaken. This article analyzes the views of Russian scientists on the problem of goal-setting in the development of government programs.
Some general questions of the theory of singular operators in the case of a piecewise Lyapunov contour
Authors: Nyaga Vasile
Published: October 2023

Not available.
On the efficiency of the approximation of integrals with Hermite's algorithm
Authors: Rizzoli Irina
Published: October 2023

Not available.
A new convergence theorem for the Steffenssen method in Banach space and applications
Authors: Argyros Ioannis K.
Published: October 2023

Not available.
A note on the quadratic convergence of the inexact Newton methods
Authors: Cătinaş Emil
Published: October 2023

We show that a new sufficient condition for the convergence with \(q\)-order two of the inexact Newton iterates may be obtained by considering the normwise backward error of the approximate steps and a result on perturbed Newton methods.This condition is in fact equivalent to the characterization given by Dembo, Eisenstat and Steihaug.
A unified treatment of boundary layer and lubrication approximations in viscous fluid mechanics
Authors: Gheorghiu Călin Ioan
Published: October 2023

Not available.
The uncentered type incremental unknowns for a singularly perturbed bilocal problem
Authors: Miranville A. , Mureşan A.C.
Published: October 2023

Not available.
Compactness in spaces of Lipschitz functions
Authors: Cobzaş Ştefan
Published: October 2023

The aim of this paper is to prove a compactness criterium in spaces of Lipschitz and Frechet dierentiable mappings.
Bilevel transportation problems
Authors: Duca Dorel , Lupşa Liana
Published: October 2023

In this paper we formulate the bilevel transportation problem of the cost-time type and of the cost-cost type, we propose a general algorithm for solving this problems and we also give two examples.
On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem
Authors: Emelichev V.A. , Nikulin V.
Published: October 2023

We consider a vector Boolean programming problem with the linear-quadratic partial criteria. Formulas of radiuses of two types of stability, necessary and sucient conditions of stability are found.
Single-valued and multi-valued Meir-Keeler type operators
Authors: Petruşel Adrian
Published: October 2023

The purpose of this paper is to present several xed point results for some single-valued and multi-valued Meir-Keeler type operators.
Degree of simultaneous approximation by Birkhoff splines
Authors: Gonska Heiner , Kacsó Daniela
Published: October 2023

In the present note we study the degree of simultaneous approximation by certain Birkhoff spline interpolation operators. Special emphasis is on estimates in terms of higher order moduli of smoothness. This generalizes earlier results of Meir and Sharma, Demko, Howell and Varma, and Buckett and Varma.
Chebyshev's Problem
Authors: Steffens Karl-Georg
Published: October 2023

The Chebyshev approximation problem is usually described as to find the polynomial (or the element of an Haar subspace) which uniformly best approximates a given continuous function. Most of the theoretical results forming the basis of this theory have not been explored by members of the St Petersburg Mathematical School, founded by P. L. Chebyshev himself.

The present article briefly wants to explain why. We show that the interests of Chebyshev and his most narrow pupil, A. A. Markov sr. focussed on a more algebraic problem, solved only in 1960s by Meyman and required techniques far away from what mathematicians were able to deal with at that time.
On a third order iterative method for solving polynomial operator equations
Authors: Cătinaş Emil , Păvăloiu Ion
Published: October 2023

We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree \(2\). The method consists in fact in evaluating the Jacobian at every two steps, and it has the \(r\)-convergence order at least \(3\). We apply the method in order to approximate the eigenpairs of matrices. We perform some numerical examples on some test matrices and compare the method with the Chebyshev method. The norming function we have proposed in a previous paper shows a better convergence of the iterates than the classical norming function for both the methods.
Some remarks on the monotone iterative technique
Authors: Buică Adriana
Published: October 2023

We consider an abstract operator equation in coincidence form \(Lu=N(u)\) and establish some comparison results and existence results via the monotone iterative technique. We use a generalized iteration method developed by Carl-Heikkila (1999). An application to a boundary value problem for a second-order functional differential equation is considered.
Some concepts of generalized convex functions (I)
Authors: Lupşa Liana , Cristescu Gabriela
Published: October 2023

An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
On convexity-like inequalities (II)
Authors: Pečarić Josip , Varošanec Sanja
Published: October 2023

We improve the classical Jensen inequality for convex functions by extending it to a wider class of functions. We also consider some weaker conditions for the weights occurring in this inequality.
On compound operators constructed with binomial and Sheffer sequences
Authors: Crăciun Maria
Published: October 2023

In this note we consider a general compound approximation operator using binomial sequences and we give a representation for its corresponding remainder term. We also introduce a more general compound approximation operator using Sheffer sequences. We provide convergence theorems for both studied operators.
A remark concerning the paper "An equivalence between the convergence of Ishikawa, Mann and Picard iterations"
Authors: Şoltuz Ştefan M.
Published: October 2023

In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.
On some bivariate interpolation procedures
Authors: Stancu Dimitrie D. , Taşcu Ioana
Published: October 2023

In an important paper published in 1966 by the first author [10] a very general interpolation formula for univariate functions, which includes, as special cases, the classical interpolation formulae of Lagrange, Newton, Taylor and Hermite was introduced and investigated. The purpose of the present paper is to extend that formula to the two-dimensional case. The remainders are expressed by means of partial divided differences and derivatives.
Some procedures for solving special max-min fractional rank-two reverse-convex programming problems
Authors: Ionac Doina , Ţigan Ştefan
Published: October 2023

In this paper we suggest some procedures for solving two special classes of \(\max\)-\(\min\) fractional reverse-convex programs. We show that a special bilinear fractional max-min reverse-convex program can be solved by a linear reverse-convex programming problem. For a linear fractional max-min reverse-convex program, possessing two reverse-convex sets, we propose a parametrical method. The particularity of this procedure is the fact that the max-min optimal solution of the original problem is obtained by solving at each iteration two linear reverse-convex programs with a rank-two monotonicity property.
Local convergence of some Newton-type methods for nonlinear systems
Authors: Păvăloiu Ion
Published: October 2023

In order to approximate the solutions of nonlinear systems\[F(x)=0,\]with \(F:D\subseteq {\mathbb R}^{n}\rightarrow {\mathbb R}^{n}\),\(n\in {\Bbb N}\), we consider the method\begin{align*}x_{k+1} & =x_{k}-A_{k}F(x_{k})\label{f1.4}\\A_{k+1} & =A_{k}(2I-F^{\prime}(x_{k+1})A_{k}),\;k=0,1,..., \,A_{0}\in M_{n}({\Bbb R}), x_0 \in D,\end{align*}and we study its local convergence.
Iterated function system of locally contractive operators
Authors: Petruşel Adrian
Published: October 2023

The aim of this paper is to study the properties of the fractal and the multi-fractal operator generated by some iterated function system satisfying to a locally contractive type condition.
A note on the solvability of the nonlinear wave equation
Authors: Precup Radu
Published: October 2023

New existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem. The main idea is to handle two equivalent operator forms of the wave equation, one of fixed point type giving the operator to which the Schauder theorem applies and an other one of coincidence type for the localization of a solution.
Remarks about a paper dealing with the equivalence of Mann and Ishikawa iterations
Authors: Şoltuz Ştefan M
Published: October 2023

We give an affirmative answer to the following question: are Mann and Ishikawa iterations equivalent under the assumptions that \(\lim_{n\rightarrow\infty }\alpha_{n}\neq0\;\) and \(\lim_{n\rightarrow\infty}\beta_{n}\neq0\)?
On the \(L_{p}\)-saturation of the Ye-Zhou operator
Authors: Finta Zoltán
Published: October 2023

We solve the saturation problem for a class of Ye-Zhou operator \(T_{n}( f , x ) = P_{n}( x ) A_{n} L_{n}( f )\) with suitable sequence of matrices \(\{ A_{n} \}_{n \geq 1}.\) The solution is based on the saturation theorem for the Kantorovich operator established by V. Maier and S. D. Riemenschneider.
Approximation theory in combinatorial optimization. Application to the generalized minimum spanning tree problem
Authors: Pop Petrică C. , Still G. , Kern W.
Published: October 2023

We present an overview of the approximation theory in

combinatorial optimization. As an application we consider the

Generalized Minimum Spanning Tree (GMST) problem which is defined on an undirected complete graph with the nodes partitioned into

clusters and non-negative costs are associated to the edges. This

problem is NP-hard and it is known that a

polynomial approximation algorithm cannot exist. We present an

in-approximability result for the GMST problem and under special

assumptions: cost function satisfying the triangle inequality and

with cluster sizes bounded by \(\rho\), we give an approximation

algorithm with ratio \(2 \rho\).
New technique for proving the equivalence of Mann and Ishikawa iterations
Authors: Şoltuz Ştefan M.
Published: October 2023

We show the equivalence bewteen the convergences of Mann and Ishikawa iterations dealing with various classes of non-Lipschitzian operators.
Singular integral operators. The case of an unlimited contour
Authors: Neaga V.
Published: October 2023

Let \(\Gamma\)be a closed or unclosed unlimited contour, a shift \(\alpha(t)\) maps homeomorphicly the contour \(\Gamma\) onto itself with preserving or reversing the direction on \(\Gamma\) and also satisfies the conditions: for some natural \(n\geq2\), \(\alpha_n(t)\equiv t\), and \(\alpha_j(t)\not\equiv t\) for \(1\leq j<n\). In this work we study subalgebra \(\Sigma\) of algebra\(L(L_p(\Gamma,\rho))\), which contains all operators of the form\[\left (M \varphi \right) (t) = \sum_{k=0}^{n-1} \bigg \{a_k (t) \varphi (\alpha_k (t)) + \tfrac{b_k(t)}{\pi {\rm i} } \int_{\Gamma} \tfrac{\varphi ( \tau )}{\tau - \alpha_k (t)} d \tau \bigg \}\]with piecewise-continuous coefficients. The existence of such an isomorphism between \(\Sigma\) and some algebra \(\frak A\) of singular operators with Cauchy kernel that an arbitrary operator from \(\Sigma\) and its image are Noetherian or not Noetherian simultaneously is proved. It allows to introduce the concept of a symbol for all operators from \( \Sigma \) and, using the known results for algebra \( \frak A \), in terms of a symbol to receive conditions of Noetherian property.
The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models dealing with a non-Lipschitzian map
Authors: Rhoades B. E. , Şoltuz Ştefan M.
Published: October 2023

The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators.
Note on the abstract generalized quasilinearization method
Authors: Buică Adriana , Precup Radu
Published: October 2023

The abstract generalized quasilinearization method established in

[2] for ordered Banach spaces with regular or normal cone and

continuous mappings is revisited for strongly minihedral cones and

(o)-continuous operators.
Best approximation in spaces with asymmetric norm
Authors: Cobzaş Ştefan , Mustăţa Costică
Published: October 2023

In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems in such spaces.
Remarks on interpolation in certain linear spaces (III)
Authors: Diaconu Adrian
Published: October 2023

In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces. In order to keep as many characteristics as possible from the case of the interpolation of real functions, in this paper we present a model of construction of the abstract interpolation polynomials, based on the properties of multilinear mappings. In this case we will define the divided differences and establish interpolation formulas with the rest expressed as a divided difference. We give the example of the type of interpolation polynomial built for non-linear mappings between spaces of functions defined on a certain interval.
Generalized unimodal multicriteria optimization
Authors: Lupşa Liana , Popovici Nicolae
Published: October 2023

The aim of this paper is to characterize the sets of weakly-efficient solutions and efficient solutions for multicriteria optimization problem involving generalized unimodal objective functions. An implementable algorithm which completely determines these sets is given for the particular framework of discrete feasible domains.
Total Positivity: an application to positive linear operators and to their limiting semigroups
Authors: Attalienti Antonio , Raşa Ioan
Published: October 2023

Some shape-preserving properties of positive linear operators, involving higher order convexity and Lipschitz classes, are investigated from the point of view of weak Tchebycheff systems and total positivity in the sense of Karlin [8]. The same properties are shown to be fulfilled by the strongly continuous semigroup \((T(t))_{t\geq 0}\), if any, generated by the iterates of the relevant operators, in the spirit of Altomare's theory.
Approximating solutions of equations using Newton's method with a modified Newton's method iterate as a starting point
Authors: Argyros Ioannis
Published: October 2023

In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modified Newton's methods. We provide weaker convergence conditions for both methods than before [6]-[8]. Then, we combine Newton's with the modified Newton's method to approximate locally unique solutions of operator equations in a Banach space setting. Finer error estimates, a larger convergence domain, and a more precise information on the location of the solution are obtained under the same or weaker hypotheses than before [6]-[8]. Numerical examples are also provided.
Remarks on interpolation in certain linear spaces (IV)
Authors: Diaconu Adrian
Published: October 2023

In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces. In order to keep as many characteristics as possible from the case of the interpolation of real functions, in this paper we present a model of construction of the abstract interpolation polynomials and the divided differences based on the properties of multilinear mappings. The aim of the present paper is the study of the conduct of the abstract interpolation polynomial, in the case when the function for interpolation is a abstract polynomial. In the last part we will construct the abstract interpolation polynomial and the divided differences, in the case in which the spaces \(X\) and \(Y\) have finite dimensions.
On an Aitken type method
Authors: Păvăloiu Ion , Cătinaş Emil
Published: October 2023

In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear equations in \({\mathbb R}\). We obtain conditions which assure monotone convergence of the generated sequences. We also obtain a posteriori estimations for the errors.
Remarks about an inequality used for the equivalence between the convergence of Ishikawa and Mann iterations
Authors: Şoltuz Ştefan M.
Published: October 2023

We prove an inequality which is crucial in the proof of the main result from B.E. Rhoades and ?tefan M. ?oltuz, The Equivalence between the Convergences of Ishikawa and Mann Iterations for an Asymptotically Pseudocontractive Map, J. Math. Anal. Appl., 283 (2003), 681-688.
Exact orders in simultaneous approximation by complex Bernstein-Stancu polynomials
Authors: Gal Sorin G.
Published: October 2023

In this paper the exact orders in approximation by the complex Bernstein-Stancu polynomials (depending on two parameters) and their derivatives on compact disks are obtained.
On a theorem of Baire about lower semicontinuous functions
Authors: Mustăţa Costică
Published: October 2023

A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by increasing sequences of continuous functions is extended to the "nonsymmetric" case, i.e. for quasi-metric spaces.
Start iteration for Ezquerro-Hernández method
Authors: Cira Cristian Mihai , Cira Octavian
Published: October 2023

We present a numerical method for solving nonlinear equation systems, namely Ezquerro-Hern\'{a}ndez method with a rate of convergence equal to 4. The main result of this article is an algorithm that determines a start iteration for the method within its quadruple convergence sphere.
Preconditioning by an extended matrix technique for convection-diffusion-reaction equations
Authors: Nicola Aurelian , Popa Constantin
Published: October 2023

In this paper we consider a preconditioning technique for the ill-conditioned systems arising from discretisations of nonsymmetric elliptic boundary value problems. The rectangular preconditioning matrix is constructed via the transfer operators between successive discretization levels of the initial problem. In this way we get an extended, square, singular, consistent, but mesh independent well-conditioned linear system. Numerical experiments are presented for a 2D convection-diffusion-reaction problem.
On a dual characterisation in best approximation problem
Authors: Precupanu Teodor
Published: October 2023

We establish a dual characterization of solutions of Ky Fan best approximation problem and as consequence we obtain an existence criterium under conditions formulated for the weak topology.
On the acceleration of the convergence of certain iterative proceedings (I)
Authors: Diaconu Adrian
Published: October 2023

The research elaborated in this paper has its origin in the study of the convergence of the sequences generated through the use of certain methods derived from the well-known Newton-Kantorovich method for the simultaneous approximation of the solution of an equation in a linear normed space, and of the inverse of the Fréchet differential at this solution. An important place is given in the paper to the notion of convergence order of an approximant sequence of the solution of an equation. Considering given an approximant sequence which verifies certain conditions expressed through the inequalities (25), we will build another approximant sequence through the relations (22), with ameliorated convergence order. We will analyse certain special cases and, in the same time, we will determine optimal methods from the point of view of the convergence order.
Modified Beta approximating operators of the first and second kind
Authors: Miheşan Vasile
Published: October 2023

By using the modified beta distributions of the first kind (MB1) and of the second kind (MB2) we obtain a general class of modified beta first kind operators and modified beta second kind operators.We obtain several positive linear operators as a special case of these modified beta operators.
Some approximation properties of modified Szasz-Mirakyan-Kantorovich operators
Authors: Nowak Grzegorz , Sikorska-Nowak Aneta
Published: October 2023

In this paper we consider the modified Szasz-Mirakyan-Kantorovich operators for functions \(f\) integrable in the sense of Denjoy-Perron. Moreover, we estimate the rate of pointwise convergence of \(M_nf(x)\) at the Lebesgue-Denjoy points \(x\) of \(f\) .
A note on best selection of quasi Descartes systems
Authors: Kitahara Kazuaki
Published: October 2023

Let \(\{u_0, \dots, u_n\}\) be a quasi Descartes system of \(C[a, b]\) and \(p\) a positive number with \(1 < p < \infty\) or \(\infty\). In this note, we search for an \(m (\leqq n)\) dimensional subspace that possesses the least distance from \(u_n\) among all \(m (\leqq n)\) dimensional subspaces of \({\rm Span}\{ u_0, \ldots, u_{n-1}\}\).
Extensions of semi-Hölder real valued functions on a quasi-metric space
Authors: Mustăţa Costică
Published: October 2023

In this note the semi-Hölder real valued functions on a quasi-metric (asymmetric metric) space are defined. An extension theorem for such functions and some consequences are presented.
Inverse theorem for the Szász-Durrmeyer operators
Authors: Świderski Tomasz
Published: October 2023

In the present paper we establish direct and inverse local properties for the Szász-Durrmeyer operators. These operators are introduced in [1] and independently considered in [4] as the generalized integral operators proposed by S.M. Mazhar and V. Totik in [2].
Approximation by nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes
Authors: Coroianu Lucian , Gal Sorin G.
Published: October 2023

The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of \(\omega_{1}(f; 1/n)\) is obtained.
Sharp bounds for gamma and digamma function arising from Burnside's formula
Authors: Mortici Cristinel
Published: October 2023

The main aim of this paper is to improve the Burnside's formula for approximating the factorial function. We prove the complete monotonicity of a function involving the gamma function to establish new lower and upper sharp bounds for the gamma and digamma function.
On the existence and uniqueness of extensions of semi-Hölder real-valued functions
Authors: Mustăţa Costică
Published: October 2023

Not available.
LWE Based Quantum-Resistant Pseudo-Random Number Generator
Authors: Kumar Atul , Mishra Arun
Published: October 2023

In the realm of cryptography, computational statistics, gaming, simulation processes, gambling, and other related fields, the design of Cryptographically Secure Pseudo-Random Number Generators (CSPRNGs) poses a significant challenge. With the rapid advancement of quantum computing, the imminent "quantum-threat" looms closer, posing a risk to our current cryptographically secure PRNGs. Consequently, it becomes crucial to address these threats seriously and develop diverse tools and techniques to ensure that cryptographically secure Pseudo-Random Number Generators (PRNGs) remain unbreakable by both classical and quantum computers. this paper presents a novel approach to constructing an effective Quantum-Resistant Pseudo-Random Number Generator (QRPRNG) using the principles of lattice-based Learning with Errors (LWE). LWE is considered quantum-resistant due to its reliance on the hardness of problems like the Shortest Vector Problem and Closest Vector Problem. Our work focuses on developing a QRPRNG that utilizes a Linear Feedback Shift Register (LFSR) to generate a stream of pseudo-random bits. To construct a secure seed for the QRPRNG, LWE is employed. The proposed QRPRNG incorporates a secure seed input to the LFSR, and employs a Homomorphic function to protect the security of the finite states within the LFSR. NIST statistical tests are conducted to evaluate the randomness of the generated output by the constructed QRPRNG. The proposed QRPRNG achieves a throughput of 35.172 Mbit/s.
Saint-Pierre de Montmartre. Remarques sur le déroulement des travaux et l’architecture de la nef
Authors: Clouet Thomas
Published: October 2023

L’église Saint-Pierre de Montmartre constitue l’une des toutes premières manifestations architecturales du style gothique, au début des années 1130. Elle a bénéficié récemment d’un article détaillé de Philippe Plagnieux, qui a reconstitué la genèse de son projet, étudié son architecture et démêlé les multiples transformations et restaurations qui ont altéré la construction primitive. En complément de cette étude fondamentale, des observations nouvelles portant sur l’architecture de la nef permettent de préciser la chronologie de cette partie de l’église. Selon ces observations, la nef a été construite en deux phases de travaux séparées d’une quinzaine d’années. Dans la continuité du chevet et du transept furent d’abord édifiés la dernière travée et les murs périphériques de la nef ; puis, dans un second temps, les piliers et les parties hautes des trois premières travées.