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We give efficient algorithms, as well as sharp estimates, to compute the Kolmogorov distance between the binomial and Poisson laws with the same mean
We shall introduce and construct explicitly the complementary Lidstone interpolating polynomial
of degree
...
We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of
In the previous paper by the first and the third authors, we present six algorithms for determining whether a given symmetric matrix is strictly copositive, copositive (but not strictly), or not copositive. Th...
A generalized Lazarevic's inequality is established. The applications of this generalized Lazarevic's inequality give some new lower bounds for logarithmic mean.
We give the best possible global bounds for a form of discrete Jensen's inequality. By some examples the fruitfulness of this result is shown.
th-Order Differential Equation with Retarded Argument
Necessary and sufficient conditions are found for oscillation of the solutions of a class of strongly superlinear and strongly sublinear differential equations of even order with retarded argument.
-Quasiclass A Operators
An operator
is called
-quasiclass
...
We introduce and discuss a class of generalized vector complementarity problems with moving cones. We discuss the existence results for the generalized vector complementarity problem under inclusive type condi...
Let
be a polynomial of degree
and for any real or complex ...
-Laplacian Problems with a Singular Weight Function
We estimate Lyapunov inequalities for a single equation, a cycled system and a coupled system of one-dimensional
-Laplacian problems wit...
We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary
...
Let
denote the open unit disk in the complex plane and let
We solve the inhomogeneous differential equation of the form
, where
A new type Kantorovich variant of Bleimann-Butzer-Hahn operator
is introduced. Furthermore, the approximation properties of the operato...
We establish some generalizations of the recent Pečarić-Rajić-Dragomir-type inequalities by providing upper and lower bounds for the norm of a linear combination of elements in a normed linear space. Our resul...
We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will include a...
-Accretive Mappings in Uniformly Smooth Banach Spaces
A new system of nonlinear fuzzy variational inclusions involving
-accretive mappings in uniformly smooth Banach spaces is introduced and studied...
For
, the power mean of order
of two positive numbers
We derive a new criterion for checking the global stability of periodic oscillation of bidirectional associative memory (BAM) neural networks with periodic coefficients and distributed delay, and find that the...
We prove the generalized Hyers-Ulam stability of homomorphisms and generalized derivations associated to the following functional equation
-Mixing Sequences of Random Variables
We study almost sure convergence for
-mixing sequences of random variables. Many of the previous results are our special cases. For exam...
We give sufficient conditions so that all solutions of differential equations
, and
...
Sobolev Inequality
The best constants
of Sobolev embedding of
into
By using diagonalizable matrix decomposition and majorization inequalities, we propose new trace bounds for the product of two real square matrices in which one is diagonalizable. These bounds improve and exte...
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 ...
and Its Hyers-Ulam Stability
We solve the functional equation,
, and prove its Hyers-Ulam stability in the class of functions
...
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...
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