bluuebunny/crossref_metadata_2025_split huggingface dataset:
‘Something is said ...’: A conversation with Maria Chevska
Authors: Taylor Brandon 
Published: May 2017

Abstract
In this conversation, the painter Maria Chevska and the author discuss the notion of commitment in painting as presented in Sartre’s writings of the 1940s, in Chevska’s current practice and in her exhibition at the Vane Gallery, Newcastle, England, in 2014, and in the wider world of contemporary painting today. They range over questions of attitude, manner, materials, source material and a recent article by David Joselit on ‘transitivity’ in painting as a way of achieving contact with the register of contemporary events.
Commitment in painting
Authors: Docherty Thomas 
Published: May 2017

Abstract
This introductory piece situates Sartre’s What is Literature? in a historical and theoretical context. Historically, it points out that it is shaped by issues of collaboration during the Occupation of France in World War II; and, consequently, when writers such as Robert Brasillach are executed for collaboration, it sees literature as a matter of life and death. Theoretically, it addresses the idea of commitment in both writing and painting; and it addresses Sartre’s argument in terms advanced by Adorno’s criticism of Sartrean ideas of commitment and existentialist choice. Sartre distinguishes prose literature from other arts, including especially painting, and claims that prose, in describing the world, reveals fundamental truths about persons; and, once those truths are revealed, they pose a question to the reader of whether she wishes to change the facts of the world. For Sartre, ‘parler, c’est agir’. This is his ‘commitment’, and it devolves into a choice between capitalism and communism. Adorno shows that Sartre is interested in choice in merely abstract terms, and not in material and empirical choices that are made. The piece examines the relation between ‘parler’ and ‘agir’ specifically in terms of the actions made by and on paintings, to argue that what is really at stake in any contemporary political choice is the radical potential not of prosaic content but of aesthetic form.
Sharp Constants and Optimizers for a Class of Caffarelli–Kohn–Nirenberg Inequalities
Authors: Lam Nguyen , Lu Guozhen 
Published: May 2017

Abstract
In this paper, we use a suitable transform of quasi-conformal mapping type to investigate the sharp constants and optimizers for the following Caffarelli–Kohn–Nirenberg inequalities for a large class of parameters

(
r
,
p
,
q
,
s
,
μ
,
σ
)

{(r,p,q,s,\mu,\sigma)}

and

0
≤
a
≤
1

{0\leq a\leq 1}

:

(
∫

|
u

|
r

d
⁢
x

|
x
|

s

)

1
r

≤
C

(
∫

|
∇
u

|
p

d
⁢
x

|
x

|
μ

)

a
p

(
∫

|
u

|
q

d
⁢
x

|
x

|
σ

)

1
-
a

q

.

\bigg{(}\int\lvert u|^{r}\frac{dx}{|x|^{s}}\bigg{)}^{\frac{1}{r}}\leq C\bigg{(% }\int\lvert\nabla u|^{p}\frac{dx}{\lvert x|^{\mu}}\bigg{)}^{\frac{a}{p}}\bigg{% (}\int\lvert u|^{q}\frac{dx}{\lvert x|^{\sigma}}\bigg{)}^{\frac{1-a}{q}}.

We compute the best constants and the explicit forms of the extremal functions in numerous cases. When

0
<
a
<
1

{0<a<1}

, we can deduce the existence and symmetry of optimizers for a wide range of parameters. Moreover, in the particular cases

r
=

p
⁢

q
-
1

p
-
1

{r=p\frac{q-1}{p-1}}

and

q
=

p
⁢

r
-
1

p
-
1

{q=p\frac{r-1}{p-1}}

, the forms of maximizers will also be provided in the spirit of Del Pino and Dolbeault [14, 15]. In the case

a
=
1

{a=1}

, that is, the Caffarelli–Kohn–Nirenberg inequality without the interpolation term, we will provide the exact maximizers for all the range of

μ
≥
0

{\mu\geq 0}

. The Caffarelli–Kohn–Nirenberg inequalities with arbitrary norms on Euclidean spaces will also be considered in the spirit of Cordero-Erausquin, Nazaret and Villani [13]. Due to the absence of the classical Polyá–Szegö inequality in the weighted case, we establish a symmetrization inequality with power weights which is of independent interest.
Biofunctionalization of surfaces using polyelectrolyte multilayers
Authors: Hartmann Hanna , Krastev Rumen 
Published: May 2017

AbstractBiomaterials play a central role in modern strategies in regenerative medicine and tissue engineering to restore the structure and function of damaged or dysfunctional tissue and to direct cellular behavior. Both biologically derived and synthetic materials have been extensively explored in this context. However, most materials when implanted into living tissue initiate a host response. Modern implant design therefore aims to improve implant integration while avoiding chronic inflammation and foreign body reactions, and thus loss of the intended implant function. Directing these processes requires an in-depth understanding of the immunological processes that take place at the interface between biomaterials and the host tissue. The physicochemical properties of biomaterial surfaces (charge, charge density, hydrophilicity, functional molecular domains, etc.) are decisive, as are their stiffness, roughness and topography. This review outlines specific strategies, using polyelectrolyte multilayers to modulate the interactions between biomaterial surfaces and biological systems. The described coatings have the potential to control the adhesion of proteins, bacteria and mammalian cells. They can be used to decrease the risk of bacterial infections occurring after implantation and to achieve better contact between biological tissue and implants. In summary, these results are important for further development and modification of surfaces from different medical implants.
Burdock (Arctium lappa) Leaf Extracts Increase the In Vitro Antimicrobial Efficacy of Common Antibiotics on Gram-positive and Gram-negative Bacteria
Authors: Pirvu Lucia , Nicorescu Isabela , Hlevca Cristina , Albu Bujor , Nicorescu Valentin 
Published: May 2017

AbstractThis work aimed to study the potential effects of four Arctii folium extracts, 5 mg gallic [GAE] acid equivalents per 1 mL sample, on six antibiotics (Ampicillin/AM, Tetracycline/TE, Ciprofloxacin/CIP, Sulfamethoxazole-Trimethoprim/SXT, Chloramphenicol/C and Gentamicin/CN) tested on four Gram-positive (Staphylococcus aureus ATCC 6538, Staphylococcus aureus ATCC 25923, Enterococcus faecalis ATCC 29212, and Staphylococcus epidermidis ATCC 12228) and five Gram-negative (Proteus mirabilis ATCC 29245, Escherichia coli ATCC 35218, E. coli ATCC 11229, E. coli ATCC 8739, and Bacillus cereus ATCC 11778) bacteria. Arctii folium extracts were the whole ethanol extract/W and subsequent ethyl acetate/EA, aqueous/AQ, and chloroform/CHL fractions. Chemical qualitative analysis (HPTLC method) emphasized five main polyphenol compounds in Arctii folium polar extracts: chlorogenic acid (Rf≈0.52/0.55) and its isomer, 1,5-di-O-caffeoylquinic acid (Rf≈0.90/0.92), plus cynarin (Rf≈0.77), hyperoside (Rf≈0.68/0.64) and isoquercitrin (Rf≈0.69/0.71). Microbiological screening indicated Arctii folium polar extracts (AQ and W) efficacy on S. epidermidis ATCC 12228; the MIC values were in the range of common antibiotics, being 32 and 128 μg GAE per mL sample respectively. The unpredictable effects (stimulatory or inhibitory) of Arctii folium extracts in combination with typical antibiotics as well as a potential use of the whole ethanol extract/W for restoring the antimicrobial potency of susceptible antibiotics have also been evidenced.
On divided difference operators in function algebras
Authors: Multarzyński Piotr 
Published: May 2017

AbstractIn this paper we study divided difference operators of any order acting in function algebras. In the definition of difference quotient operators we use a tension structure defined on the set of points on which depend the functions of the algebras considered. In the paper we mention the oportunity for partial difference quotient operators as well as for some purely algebraic definition of divided difference operators in terms of the suitable Leibniz product rules.
Unified elliptic-type integrals and asymptotic formulas
Authors: Chaurasia V. B. L. , Pandey S.C. 
Published: May 2017

AbstractThe object of the present paper is to consider a unified and extended form of certain families of elliptic-type integrals, which have been discussed in number of earlier works on the subject due to their importance and applications in problems arising in radiation physics and nuclear technology. The results obtained are of general character and include the investigations carried out by several authors. We obtain asymptotic formulas for the unified elliptic-type integrals.
Difference methods for infinite systems of quasilinear parabolic functional differential equations
Authors: Jaruszewska-Walczak Danuta 
Published: May 2017

AbstractClassical solutions of initial boundary value problems for infinite systems of quasilinear parabolic differential functional equations are considered. Two type of difference schemes are constructed. We prove that solutions of infinite difference schemes approximate solutions of our differential functional problem. In the second part of the paper we show that solutions of infinite differential functional systems can be approximated by solutions of difference systems with initial boundary conditions and the systems are finite.A complete convergence analysis for the methods is presented. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type for given functions.
A survey on polygonal portraits of manifolds
Authors: Kobayashi Mahito 
Published: May 2017

AbstractPlanar portraits are geometric representations of smooth manifolds defined by their generic maps into the plane. A simple subclass called the polygonal portraits is introduced, their realisations, and relations of their shapes to the topology of source manifolds are discussed. Generalisations and analogies of the results to other planar portraits are also mentioned. A list of manifolds which possibly admit polygonal portraits is given, up to diffeomorphism and up to homotopy spheres. This article is intended to give a summary on our research on the topic, and hence precise proofs will be given in other papers.
Oscillations of a higher order nonlinear differential equations with impulses
Authors: Wen Kun-wen , Wang Gen-Qiang , Cheng Sui Sun 
Published: May 2017

AbstractImpulsive differential equations are important in simulation of processes with jump conditions. Although there are quite a few studies on the oscillation properties of low order equations, there are not too many studies of higher order equations. In this paper, we derive several oscillation criteria which are either new or improve several recent results in the literature. In addition, we provide several examples to illustrate the use of our results.
Mixing operators on spaces with weak topology
Authors: Shkarin Stanislav 
Published: May 2017

Abstract
We prove that a continuous linear operator T on a topological vector space X with weak topology is mixing if and only if the dual operator T′ has no finite dimensional invariant subspaces. This result implies the characterization of hypercyclic operators on the space ω due to Herzog and Lemmert and implies the result of Bayart and Matheron, who proved that for any hypercyclic operator T on ω, T⊕T is also hypercyclic.
Exponential stability and blow up for a problem with Balakrishnan–Taylor damping
Authors: Tatar Nasser-eddine , Zaraï Abderrahmane 
Published: May 2017

Abstract
This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan–Taylor damping. We show that the weak dissipation produced by the memory term is strong enough to stabilize solutions exponentially. Also, we show that a nonlinear source of polynomial type is able to force solutions to blow up in finite time even in presence of a stronger damping.
The fuzzy basis of the sequence space ℓP
(ℱ)
Authors: Şengönül Mehmet 
Published: May 2017

Abstract
Nanda [6] introduced and discussed ℓp
(ℱ) space of sequences of fuzzy numbers, and various authors studied many different properties of the space ℓp
(ℱ). In the sequel of these studies, we have shown in this paper that the set (Ek
) = (E
0, E
1, E
2,. . . , Ek
, . . .) is Schauder basis for ℓp
(ℱ) and dual space of the ℓp
(ℱ) is ℓq
(ℱ), where p
–1 + q
–1 = 1.
Finite mappings and the topology of their stable sets
Authors: Berrone Lucio R. , Dieulefait Luis V. 
Published: May 2017

Abstract
Given a mapping f from a finite set Xn
on itself, we explore the finite topology τf
defined by the stable subsets E of Xn
; i.e., the subsets E of Xn
which satisfy f(E) ⊆ E. Necessary and sufficient conditions are found in order that a finite topology τ may correspond to the topology τf
for a certain mapping f. A number of results relating properties of topology τf
with properties of the mapping f itself are also exposed.
Generalized stability of isometries in p-homogeneous F-spaces
Authors: Żołdak Marek 
Published: May 2017

Abstract
Let X, Y be p-homogeneous, complete F-spaces, r > 0, δ > 0. A function f : X → Y is an (r, δ)-isometry, if

|

‖

f
(
x
)
-
f
(
y
)

‖

r

-

‖

x
-
y

‖

r

|

≤
δ

for

x
,
y
∈
X
.

$$\left| {\left\| {f(x) - f(y)} \right\|^r - \left\| {x - y} \right\|^r } \right| \le \delta \;\;\;{\rm{for}}\;x,y \in X.$$

We consider the following problem: does for each ε > 0, r > 0 there exist a δ > 0 such that for each surjective (r, δ)- isometry f there exists an isometry U : X → Y such that sup
x

∈

X
‖f(x) − U(x) ‖ ≤ ε.
Fixed points in k complete metric spaces
Authors: Kikina Luljeta , Kikina Kristaq 
Published: May 2017

Abstract
A fixed point theorem for three mappings on a metric space into itself is proved. This result extends the results obtained in [1] from two mappings to three mappings, and after that, a generalization for an arbitrary number of mappings is obtained. As corollaries of these results we obtain the extending of Theorems of Nešić, Rhoades, Chatterjea, Rus and Kannan for an arbitrary number of mappings.
Generalized weighted composition operators on the Bergman space
Authors: Sharma Ajay K. 
Published: May 2017

Abstract
Let φ and ψ be holomorphic maps on the open unit disk 𝔻 such that φ(𝔻) ⊂ 𝔻 and H(𝔻) be the space of holomorphic functions on 𝔻. For a non-negative integer n, define a linear operator

D

φ
,
ψ

n

$D_{\varphi ,\psi }^n $

as

D

φ
,
ψ

n

f
=
ψ
⋅

(

f

(
n
)

ο
φ

)

$D_{\varphi ,\psi }^n f = \psi \cdot \left( {f^{(n)} \circ \varphi } \right)$

, f ∈ H(𝔻). In this paper, we characterize boundedness and compactness of

D

φ
,
ψ

n

$D_{\varphi ,\psi }^n $

on the Bergman space 𝒜
2. We also compute the upper and lower bounds of essential norm of this operator on the Bergman space.
Hopf–Sikorski algebras
Authors: Heller Michael , Odrzygóźdź Zdzisław , Pysiak Leszek , Sasin Wiesław 
Published: May 2017

Abstract
The dual category with respect to the category of differential groups is defined and investigated. The objects of this category are algebras, called Hopf–Sikorski (H-S) algebras, the axioms of which combine the axioms of Sikorski’s algebras with modified axiomas of Hopf algebras. Morphisms of this category are structural mappings corresponding to Hopf algebras that are smooth in the sense of Sikorski. As an example, we discuss the H-S algebra of the Lorentz group.
Some general results and extreme points of p-valent functions with negative coefficients
Authors: Xiong LiangPeng 
Published: May 2017

Abstract
In this paper, we further investigate the class of functions ϕ*
(n, p, λ, α) which are analytic in the open unit disk △ = {z : |z| < 1}, and involve the combinations of the representations of p-valently starlike and convex functions. We obtain several generalized results on the modified-Hadamard product of the class ϕ*
(n, p, λ, α), which extend the corresponding results obtained by Altintas et al. [Computers Math. Applic. 30(2), 9-16, (1995)]; Darwish, Aouf [Mathematical and Computer Modelling(2007), doi:10.1016/j.mcm.2007.08.016]. Futher, by fixing the second coefficient of functions in ϕ*
(n, p, λ, α), we introduce the special class

ϕ

c
*

(
n
,
p
,
λ
,
α
)

$\phi _c^* (n,p,\lambda ,\alpha )$

and discuss the extreme points.
An algebraic treatment of imprecise probabilities
Authors: Montagna Franco 
Published: May 2017

Abstract
This is a survey paper about an algebraic approach to imprecise probabilities. In the first part of it, we outline the work by Walley on imprecise probabilities and the more algebraic approach of Fedel et al.. Then, in the second part we will present some work in progress about a general treatment of upper and lower probabilities over many-valued events and of upper and lower previsions of gambles, by means of Universal Algebra.
Fibonomial coefficients at most one away from Fibonacci numbers
Authors: Marques Diego 
Published: May 2017

Abstract
Let Fn
be the nth Fibonacci number. For 1 ≤ k ≤ m, let

[

m

k

]

F

=

F

m

F

m
-
1

⋯

F

m
-
k
+
1

F

1

⋯

F

k

$$\left[ {\matrix{m \hfill \cr k \hfill \cr } } \right]_F = {{F_m F_{m - 1} \cdots F_{m - k + 1} } \over {F_1 \cdots F_k }}$$

be the corresponding Fibonomial coefficient. It is known that

[

m

k

]

F

$\left[ {\matrix{m \hfill \cr k \hfill \cr } } \right]_F $$$

is a Fibonacci number if and only if either k = 1 or m ∈ {k, k + 1}. In this note, we find all solutions of the Diophantine equation

[

m

k

]

F

±
1
=

F

n

$\left[ {\matrix{m \hfill \cr k \hfill \cr } } \right]_F \pm 1 = F_n $

.
Existence of solutions for some nonlinear delay integrodifferential equations with nonlocal initial conditions
Authors: Yan Zuomao 
Published: May 2017

Abstract
The main purpose of this paper is the existence of mild solutions for a class of first-order nonlinear delay integrodifferential equations with nonlocal initial conditions in Banach spaces. We show that the solutions are given by the application of the theory of resolvent operators and the Sadovskii’s fixed point theorem. An example is presented in the end to show the applications of the obtained results.
Principle of conditioning revisited
Authors: Jakubowski Adam 
Published: May 2017

Abstract
Principle of Conditioning is a well-known heuristic rule which allows constructing limit theorems for sums of dependent random variables from existing limit theorems for independent summands. In the paper we state a general limit theorem on converegnce to stable laws, which is valid for stationary sequences and provides a link between the Principle of Conditioning and ergodic theorems.
Hitting hyperbolic half-space
Authors: Małecki Jacek , Serafin Grzegorz 
Published: May 2017

Abstract
Let

X

(
μ
)

=
{

X

t

(
μ
)

;
t
≥
0
}

$X^{(\mu )} = \{ X_t^{(\mu )} ;t \ge 0\} $

, μ > 0, be the n-dimensional hyperbolic Brownian motion with drift, that is a diffusion on the real hyperbolic space ℍ
n
having the Laplace–Beltrami operator with drift as its generator. We prove the reflection principle for X
(

μ

) which enables us to study the process X
(

μ

) killed when exiting the hyperbolic half-space, that is the set D = {x ∈ ℍ
n
: x
1 > 0}. We provide formulae, uniform estimates and describe asymptotic behavior of the Green function and the Poisson kernel of D for the process X
(

μ

). Finally, we derive formula for the λ-Poisson kernel of the set D.
Kelvin transform for α-harmonic functions in regular domains
Authors: Michalik Krzysztof , Ryznar Michał 
Published: May 2017

Abstract
We investigate conditional stable processes in a Lipschitz domain D and conditional stable processes in the image of D under the Kelvin transform. We show that, with a suitable change of time, these processes are equal in distribution. As an application, we show the equivalence of the Hardy spaces and the relative Fatou theorem for D and its image.
On optimal stopping of risk processes with regime switching
Authors: Ferenstein Elżbieta , Pasternak-Winiarski Adam 
Published: May 2017

Abstract
In the paper we solve a problem of optimal stopping of a risk process in two alternative settings. We assume that the main characteristics of the risk process change according to unobservable random variable. In the first model we assume that the post-disorder distributions are not known a’priori and are randomly chosen from a finite set of admissible distributions. The second model concentrates on a situation when more than one disorder is possible. For both models optimal stopping rules with respect to given utility function are constructed using dynamic programming methodology.
On characterization of a.s. convergence of all conditionings for sequences of random variables
Authors: Paszkiewicz Adam 
Published: May 2017

Abstract
We prove that in a non-atomic probability space, for a sequence of any integrable r.v. (Xn
) we have the following equivalence: 𝔼(Xn
|𝒰) → 0 a.s. for any σ-field 𝒰 of events iff Xn
→ 0 a.s. and 𝔼 sup
n

≥1 |Xn
| < ∞.
Conditional version of the Donati-Martin and Yor formula and its applications
Authors: Jakubowski Jacek , Wiśniewolski Maciej 
Published: May 2017

Abstract
We present a new elementary and elegant probabilistic proof of conditional version of the Donati-Martin and Yor formula, more precisely, the conditional version of the Laplace transform of

∫
0
t

B

u
2

du

$\int_0^t {B_u^2 du} $

given Bt
= y, where B is a Brownian motion. Next, using our form of conditional formula, we obtain the new results concerning Laplace transforms of some processes and a kind of reflection principle.
Remarks on uniform convergence of random variables and statistics
Authors: Niemiro Wojciech , Zieliński Ryszard 
Published: May 2017

Abstract
Convergence in distribution, convergece in probability, and convergence almost surely, uniform with respect to a family of probability distributions, is considered. These concepts appeared to be appropriate tools for asymptotic theory of mathematical statistics and many partial results are scattered in the literature of the subject. The aim of this note is to present a unified review of the results in a general and abstract setup. We examine a few rather paradoxical examples which hopefully shed some light on the subtleties of the underlying definitions and the role of asymptotic approximations in statistics. A motivation for considering these problems is provided by their applications.
On the random functional central limit theorems with almost sure convergence for subsequences
Authors: Rychlik Zdzisław , Szuster Konrad S. 
Published: May 2017

Abstract
In this paper we present functional random-sum central limit theorems with almost sure convergence for independent nonidentically distributed random variables. We consider the case where the summation random indices and partial sums are independent. In the past decade several authors have investigated the almost sure functional central limit theorems and related ‘logarithmic’ limit theorems for partial sums of independent random variables. We extend this theory to almost sure versions of the functional random-sum central limit theorems for subsequences.
A characterization of completeness of generalized metric spaces using generalized Banach contraction principle
Authors: Ghosh Piu , Deb Ray A. 
Published: May 2017

Abstract
In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach’s fixed point theorem is obtained under the completeness condition of the space. Moreover, it is established that, using such contraction principle, completeness of the generalized metric space can be characterized.
Existence of solutions of the dynamic Cauchy problem in Banach spaces
Authors: Cichoń Mieczysław , Kubiaczyk Ireneusz , Sikorska-Nowak Aneta , Yantir Ahmet 
Published: May 2017

Abstract
In this paper we obtain the existence of solutions and Carathéodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales

x
Δ

(
t
)
=
f
(
t
,
x
(
t
)
)
,

x
(
0
)
=

x
0

,

t
∈

I
a

,

$$\matrix{{x^\Delta (t) = f(t,x(t)),} \hfill & {} \hfill \cr {x(0) = x_0 ,} \hfill & {t \in I_a ,} \hfill } $$

where f is continuous or f satisfies Carathéodory conditions and some conditions expressed in terms of measures of noncompactness. The Mönch fixed point theorem is used to prove the main result, which extends these obtained for real valued functions.