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Let (
) be a Polish space,
the family of all nonempty closed ...
-preinvex-type functions
Some properties of
-preinvexity for vector-valued functions are given and interrelations among
...
We study extended Hardy inequalities using Littlewood-Paley theory and nonlinear estimates' method in Besov spaces. Our results improve and extend the well-known results of Cazenave (2003).
We establish a new inequality of Hilbert type for a finite double number of nonnegative sequences of real numbers and some interrelated results, which are inverse and general forms of Pachpatte's and Handley's...
We study an implicit predictor-corrector iteration process for finitely many asymptotically quasi-nonexpansive self-mappings on a nonempty closed convex subset of a Banach space ...
We show the boundedness of fractional integral operators by means of extrapolation. We also show that our result is sharp.
The concepts
and
for double sequences were introduced by Patterson in 1999. ...
We deal with a conditional functional inequality
, where
is a given orthogona...
By introducing some parameters and norm
, we give multiple Hardy-Hilbert integral inequalities, and prove that their constant factors are...
affine isoperimetric inequalities
We establish some inequalities for the dual
-centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we esta...
We deal with the stability of the orthogonality preserving property in the class of mappings phase-equivalent to linear or conjugate-linear ones. We give a characterization of approximately orthogonality prese...
We establish the
-boundedness for a class of singular integral operators and a class of related maximal operators when their singular kernels are...
A new mathematical model of generalized vector quasiequilibrium problem with set-valued mappings is introduced, and several existence results of a solution for the generalized vector quasiequilibrium problem w...
Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In...
The purpose of this paper is to prove several results in approximation by complex Picard, Poisson-Cauchy, and Gauss-Weierstrass singular integrals with Jackson-type rate, having the quality of preservation of ...
spaces to
-Bloch spaces on the unit ball
Let
denote the space of all holomorphic functions on the unit ball
. We inves...
We give a new interpretation of Hua's inequality and its generalization. From this interpretation, we know the best possibility of those inequalities.
We develop an iterative algorithm for computing the approximate solutions of mixed quasi-variational-like inequality problems with skew-symmetric terms in the setting of reflexive Banach spaces. We use Fan-KKM...
We establish
estimates for certain class of maximal functions with kernels in
-spaces and maximal
-regular differential-operator equations
The embedding theorems in anisotropic Besov-Lions type spaces
are studied; here
We establish a relation between the notion of an operator of an analytic semigroup and matrix transformations mapping from a set of sequences into
Let
be a closed convex subset of a real Banach space
,
We are concerned with the oscillatory and nonoscillatory behavior of solutions of even-order quasilinear functional differential equations of the type
-accretive mappings in Banach spaces
Based on the notion of
-accretive mappings and the resolvent operators associated with
...
Let
be a Borel measure on
which may be nondoubling. The only condition that
We consider two quasistatic frictionless contact problems for viscoelastic bodies with long memory. In the first problem the contact is modelled with Signorini's conditions and in the second one is modelled wi...
For
, let
and
We obtain global estimates for various integral transforms of positive differentiable functions that satisfy inequalities of the type
, for
Recently, there have been many authors, who established a number of inequalities involving Khatri-Rao and Hadamard products of two positive matrices. In this paper, the results are established in the following...
Several variants of Čebyšev's inequality for two monotonic
-tuples and also
n...
-error analysis for a system of quasivariational inequalities with noncoercive operators
This paper deals with a system of elliptic quasivariational inequalities with noncoercive operators. Two different approaches are developed to prove
The chaotic order
among positive invertible operators
on a Hilbert space is ...
th-order boundary value problems
By the theory of differential inequality, bounding function method, and the theory of topological degree, this paper presents the existence criterions of solutions for the general ...
We find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions ...
The equivalence between some conditions concerning elliptic matrices is shown, namely, the Cordes condition, a generalized form of Campanato's condition, and a generalized form of a condition of Buică.
We study a class of vector minimization problems on a complete metric space such that all its bounded closed subsets are compact. We show that for most (in the sense of Baire category) problems in the class th...
We introduce a class of projection-contraction methods for solving a class of general random implicit quasi-variational inequalities with random multivalued mappings in Hilbert spaces, construct some random it...
Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other ...
-Laplacian and disconjugacy criteria
We derive oscillation and nonoscillation criteria for the one-dimensional
-Laplacian in terms of an eigenvalue inequality for a mixed problem. We...
Let
be a sequence of nonmonotonic functions of associated random variables. We derive a Newman and Wright (1981) type of inequality for the maxi...
-Laplacian-like operators
The existence of periodic solutions for second-order Liénard equations with
-Laplacian-like operator is studied by applying new generalization of...
We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the unit disk in
.
We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gi...
For
and
, we let
We give exact closed-form expressions for the Kolmogorov and the total variation distances between Poisson, binomial, and negative binomial distributions with different parameters. In the Poisson case, such ex...
For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegr...
We investigate some properties of non-Archimedean integration which is defined by Kim. By using our results in this paper, we can give an answer to the problem which is introduced by I.-C. Huang and S.-Y. Huan...
We consider an extension of Möbius-Pompeïu theorem of the elementary geometry over metric spaces. We specially take into consideration Ptolemaic metric spaces.
This paper introduces new classes of generalized invex monotone mappings and invex cocoercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.
We introduce a new class of normalized norms on
which properly contains all absolute normalized norms. We also give a criterion for deciding whe...
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