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The existence and boundedness on Sobolev spaces and Hardy-Sobolev spaces for the hypersingular Marcinkiewicz integrals with variable kernels are derived.
This paper deals with a class of integrodifferential impulsive periodic systems on Banach space. Using impulsive periodic evolution operator given by us, the
...
We prove a regularity criterion
for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the availabl...
Asymptotic behavior of a convolution of a function with a measure is investigated. Our results give conditions which ensure that the exact rate of the convolution function can be determined using a positive we...
The problem on solutions with specified growth for linear functional differential equations with negative coefficients is treated by using two-sided monotone iterations. New theorems on the existence and local...
We define an integral operator denoted by
, and we give sufficient conditions such that
...
Let
be a Banach space, we study Riemann-Stieltjes operators between
We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's
, and Lobatto four-point quadrature ru...
We study the set-valued vector equilibrium problems and the set-valued vector Hartman-Stampacchia variational inequalities. We prove the existence of solutions of the two problems. In addition, we prove the co...
The weighted Jensen inequality for convex-concave antisymmetric functions is proved and some applications are given.
-Laplacian
The goal of this paper is to prove the boundary asymptotic behavior of solutions for weighted
-Laplacian equations that take infinite value on a...
Making use of the pullbacks, we reformulate the following quadratic functional equation:
in the spaces of generalized functions. Also, ...
We investigate a new subclass of analytic functions in the open unit disk
which is defined by generalized Ruscheweyh differential opera...
Some new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in the analysis of vari...
-Parametric Bleimann Butzer and Hahn Operators
We introduce a new
-parametric generalization of Bleimann, Butzer, and Hahn operators in
...
-Laplacian Equation Boundary Value Problems
This paper investigates the existence of solutions for weighted
-Laplacian ordinary boundary value problems. Our method is based on Leray-Schaud...
-Symmetric Points
In our previous work in this journal in 2008, we introduced the generalized derivative operator
for
...
We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales. Some improvements and applications are also included.
We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the D...
Let
be a normalized analytic function defined on the unit disk and
Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces are established.
A four-parameter homogeneous mean
is defined by another approach. The criterion of its monotonicity and logarithmically convexity is pr...
We generalize the square integral estimate for the derivative of the convex function by Shashiashvili (2005) to the case of the family of the weight functions, satisfying certain conditions. This kind of gener...
The purpose of this paper is to study the strong convergence of a modified iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of so...
Wiegerinck has shown that a separately subharmonic function need not be subharmonic. Improving previous results of Lelong, Avanissian, Arsove, and of us, Armitage and Gardiner gave an almost sharp integrabilit...
Let
be a nonnegative Radon measure on
which only satisfies...
We establish some new impulsive integral inequalities related to certain integral inequalities arising in the theory of differential equalities. The inequalities obtained here can be used as handy tools in the...
Involving the
-Laplacian
In view of variational approach, we discuss a nonlinear elliptic system involving the
-Laplacian. Establishing the suitable conditions on the no...
We investigate the univalence of an integral operator defined by Al-Oboudi differential operator.
Let
be a nondoubling measure on
. A class of commutators as...
We will examine double sequence to double sequence transformation of independent identically distribution random variables with respect to four-dimensional summability matrix methods. The main goal of this pap...
We study the strong convergence of an iterative method for inverse strongly accretive operators in the framework of Banach spaces. Our results improve and extend the corresponding results announced by many oth...
Space
We will introduce linear operators and obtain their exact norms defined on the function spaces
and
...
For a sequence
of dependent square integrable random variables and a sequence
...
-Widths for Some Classes of Periodic Functions with Formal Self-Adjoint Linear Differential Operators
We consider the classes of periodic functions with formal self-adjoint linear differential operators
, which include the classical Sobol...
We give some further consideration about logarithmic convexity for differences of power sums inequality as well as related mean value theorems. Also we define quasiarithmetic sum and give some related results.
We link some equivalent forms of the arithmetic-geometric mean inequality in probability and mathematical statistics.
-Widths for Some Classes of Convolution Functions
We consider some classes of
-periodic convolution functions
A measure of noncompactness (essential norm) for maximal functions and potential operators defined on homogeneous groups is estimated in terms of weights. Similar problem for partial sums of the Fourier series...
We define two functions which determine the properties and the representation of the mean value of a function on a ball and on its associated sphere. Using these two functions, we obtain Pizzetti's formula in
Let
be the unit ball in
with respect to the Euclidean norm...
In this paper we have introduced an integral general operator. For this general operator which is a generalization of more known integral operators we have demonstrated some univalence properties.
Suppose that
is strictly increasing, strictly concave, and twice continuously differentiable on a nonempty interval
We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with...
The main purpose of the present paper is to establish some new Grüss integral inequalities in
independent variables. Our results in spe...
-Degree
By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel of
It is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function. Thus, a quite sharp result of the classical Hilbert inequality for double series is ...
In this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero. By imposing supplimentary conditions for these function...
A multidimensional recurring mean inequality is shown. Furthermore, we prove some new inequalities, which can be considered to be the extensions of those established inequalities, including, for example, the P...
The Brézis-Wainger inequality on a compact Riemannian manifold without boundary is shown. For this purpose, the Moser-Trudinger inequality and the Sobolev embedding theorem are applied.
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