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This paper studies the exponential stability of a class of periodically time-switched nonlinear systems. Three cases of such systems which are composed, respectively, of a pair of unstable subsystems, of both ...
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common ...
The purpose of this paper is to introduce and study two new hybrid proximal-point algorithms for finding a common element of the set of solutions to a generalized equilibrium problem and the sets of zeros of t...
-Monotone Nonlinear Variational Inclusions Problems with Applications
We introduce and study a new system of nonlinear variational inclusions involving a combination of
-Monotone operators and relaxed cocoe...
We study optimality conditions of globally efficient solution for vector equilibrium problems with generalized convexity. The necessary and sufficient conditions of globally efficient solution for the vector e...
We consider generalized Morrey spaces
with a general function
Approximation on the spherical cap is different from that on the sphere which requires us to construct new operators. This paper discusses the approximation on the spherical cap. That is, the so-called Jackson...
We derive some subordination results for the subclasses
,
,
-Curvature Image
Lutwak introduced the notion of
-curvature image and proved an inequality for the volumes of convex body and its
...
We study the symmetry for the generalized twisted Bernoulli polynomials and numbers. We give some interesting identities of the power sums and the generalized twisted Bernoulli polynomials using the symmetric ...
The purpose of the present paper is to derive some sufficient conditions for Carathéodory functions in the open unit disk. Our results include several interesting corollaries as special cases.
The aim of this paper is to consider a dynamic competitive economic equilibrium problem in terms of maximization of utility functions and of excess demand functions. This equilibrium problem is studied by mean...
We prove an interesting extension of the Shapiro's cyclic inequality for four and five variables and formulate a generalization of the well-known Shapiro's cyclic inequality. The method used in the proofs of t...
-Convergence of Fuzzy Numbers
Savas and Mursaleen defined the notions of statistically convergent and statistically Cauchy for double sequences of fuzzy numbers. In this paper, we continue the study of statistical convergence by proving so...
For
, the symmetric function
is defined by
We establish the general solution of the functional equation
for fixed integers
A new generalized nonlinear variational-like inequality is introduced and studied. By applying the auxiliary principle technique and KKM theory, we construct a new iterative algorithm for solving the generaliz...
-Mixing Sequences and Its Applications
Firstly, the maximal inequality for
-mixing sequences is given. By using the maximal inequality, we study the convergence properties for
Differential Operator in Polydisk
We introduce and study new analytic classes on subframe and expanded disk and give complete description of their traces on the unit disk. Sharp embedding theorems and various new estimates concerning different...
We give some results concerning stability in the Fredholm operators and Browder operators set, via the concept of measure of noncompactness. Moreover, we prove some localization results on the essential spectr...
Let
and
be sequences of random variables. For any
Consider the DC programming problem
where
and
We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space ...
-Extension of Barnes' Type Multiple Euler Polynomials
We construct the
-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive ma...
We define and investigate two special subclasses of the class of complex-valued harmonic multivalent functions based on Hadamard product.
We establish the equivalence of some affine isoperimetric inequalities which include the
-Petty projection inequality, the
-Spaces
Let
be a finite or infinite index set, let
be a topologica...
A common method in solving ill-posed problems is to substitute the original problem by a family of well-posed (i.e., with a unique solution) regularized problems. We will use this idea to define and study a tw...
Let
be a positive Radon measure on
which may be nondoublin...
We obtain the maximum principles for the first-order neutral functional differential equation
...
We consider the perturbed half-linear Euler differential equation
,
Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of mer...
We define generalized paranormed sequence spaces
,
,
We study the system of generalized implicit vector quasivariational inequality problems and prove a new existence result of its solutions by Kakutani-Fan-Glicksberg's fixed points theorem. As a special case, w...
We show that a Hardy-Rellich inequality with optimal constants on a bounded domain can be refined by adding remainder terms. The procedure is based on decomposition into spherical harmonics.
Using the Alzer integral inequality and the elementary properties of the gamma function, a double inequality for gamma function is established, which is an improvement of Merkle's inequality.
We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distance from a surface. It is proved that the Hardy-Sobolev inequality can be successively improved by adding to t...
Control of an Interval System with Interval Time-Varying Delay
This paper concerns the problem of the delay-dependent robust stability and guaranteed cost
control for an interval system with time-va...
It is shown that an extension of the Hilbert's integral inequality can be established by introducing two parameters
and
...
We obtain the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary
This is a survey and expository article. Some new developments on refinements, generalizations, and applications of Jordan's inequality and related problems, including some results about Wilker-Anglesio's ineq...
By using the methods of linear algebra and matrix inequality theory, we obtain the characterization of admissible estimators in the general multivariate linear model with respect to inequality restricted param...
An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained. Also s...
of Higher Order
We give some interesting relationships between the power sums and the generalized Bernoulli numbers attached to
of higher order using m...
Kantorovich inequality is a very useful tool to study the inefficiency of the ordinary least-squares estimate with one regressor. When regressors are more than one statisticians have to extend it. Matrix, dete...
We give a new Hilbert's inequality with a best constant factor and some parameters.
-Extensions of Apostol's Type Euler Polynomials
The main purpose of this paper is to present new
-extensions of Apostol's type Euler polynomials using the fermionic
...
-Riesz Difference Sequence Space and
-Property
We introduce the generalized Riesz difference sequence space
which is defined by
...
Some existence theorems for the mixed variational-like inequality for fuzzy mappings (FMVLIP) in a reflexive Banach space are established. Further, the auxiliary principle technique is used to suggest a novel ...
We prove two theorems on
,
, summability factors for an infi...
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