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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...
Let
be an interval and let
be a reproducing kernel on
...
We describe the sets on which difference of solutions of the gas dynamics equation satisfy some special conditions. By virtue of nonlinearity of the equation the sets depend on the solution gradient quantity. ...
We consider the basin of the zero-solution to a semilinear parabolic equation on
with the Ornstein-Uhlenbeck operator. Our aim is to show that t...
We discuss the stability of complex exponential frames
in
,
...
We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a composite ma...
The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions. These results are applied to the prove of two-weighted B...
We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed coc...
A discrete Hardy-type inequality
is considered for a positive "kernel"
,
The goal of the paper is twofold: (1) to show that the exact value
in the Meńshov-Rademacher inequality equals 4/3, and (2) to give a new proof ...
-quasihyponormal operators
It is shown that if
is an
upper-triangular operator matrix acting on the Hil...
We study a nonlinear hyperbolic equation with boundary memory source term. By the use of Galerkin procedure, we prove the global existence and the decay property of solution.
We prove Turán-type inequalities for some special functions by using a generalization of the Schwarz inequality.
We denote by
and
the gamma and the incomplete gamma functions, respectively....
The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalue...
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