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We study a class of equilibrium problems which is identified with a complete metric space of functions. For most elements of this space of functions (in the sense of Baire category), we establish that the corr...
We establish some exponential inequalities for positively associated random variables without the boundedness assumption. These inequalities improve the corresponding results obtained by Oliveira (2005). By on...
We give an improvement and a reversion of the well-known Ky-Fan inequality as well as some related results.
-Bernoulli Polynomials
In this paper, we give some further properties of
-adic
-
We establish the generalized Hyers-Ulam stability of a Pexider-type functonal equation
Let
be the Jacobi measure supported on the interval [-1, 1]. Let us introduce the Sobolev-type inner product
...
Two classes of new inequalities similar to Hardy-Hilbert inequality are showed by introducing some parameters
and two real functions
We consider a general integral operator and the class of analytic functions. We extend some univalent conditions of Becker's type for analytic functions using a general integral transform.
For
, we say
is weakly submajorized (weakly supermajorized) b...
The main purpose of this paper is to present two methods of sharpening Jordan's inequality. The first method shows that one can obtain new strengthened Jordan's inequalities from old ones. The other method sho...
Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concerning these modulus for some classical Banach spaces are determined. Some applications in geometry of Banach s...
The main object of this paper is to introduce and investigate a new subclass of normalized analytic functions in the open unit disc
whi...
We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces. Solodov and Svaiter (2000) first introduced ...
In a recent paper by Savaş and Şevli (2007), it was shown that each Cesáro matrix of order
, for
...
We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system...
An equivalent linear matrix inequality (LMI) representation of bounded real lemma (BRL) for linear continuous-time systems is introduced. As to LTI system including polytopic-type uncertainties, by using a par...
Spaces in the Unit Ball
Let
be an analytic self-map and let
be a fixed analytic func...
We consider the solvability of generalized variational inequalities involving multivalued relaxed monotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study th...
We solve the generalized Hyers-Ulam stability problem for multidimensional Euler-Lagrange quadratic mappings which extend the original Euler-Lagrange quadratic mappings.
-Valent Functions Defined by Multiplier Transformations
The aim of this paper is to give the radius of starlikeness of the certain classes of
-valent functions defined by multiplier transformations. T...
We prove a multiplicative inequality for inner products, which enables us to deduce improvements of inequalities of the Carlson type for complex functions and sequences, and also other known inequalities.
-Statistically Convergent Double Sequences of Fuzzy Numbers
We study the notion of
-statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations.
-Integers
We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes
-integers. We investigate uniform approximation of t...
We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel fu...
and
We consider the classes
and
of the analytic functions and ...
We consider an integral operator,
, for analytic functions,
We introduce new sequence space involving lacunary sequence connected with Cesaro sequence space and examine some geometric properties of this space equipped with Luxemburg norm.
We consider the Kantorovich- and the Durrmeyer-type modifications of the generalized Favard operators and we prove an inverse approximation theorem for functions
...
We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained. Some applications in p...
The norm of a Hilbert's type linear operator
is given. As applications, a new generalizations of Hilbert integral inequality, and the re...
For analytic functions
in the open unit disc
with
-Monotone Mappings
A new system of nonlinear variational inclusions involving
-monotone mappings in the framework of Hilbert space is introduced and then b...
Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in th...
Let
be the unit ball in the
-dimensional complex space, for
Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are d...
-Laplacian
We deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinu...
In this note, new upper bounds for Carleman's inequality and Hardy's inequality are established.
The purpose of this paper is to investigate some nonlinear integral inequalities on time scales. Our results unify and extend some continuous inequalities and their corresponding discrete analogues. The theore...
We obtain the general solution and the stability of the
-variable quadratic functional equation
...
We investigate when a natural iterative method converges to the exact solution of a differential-functional von Foerster-type equation which describes a single population depending on its past time and state d...
The difference sequence space
, which is a generalization of the space
We solve the inhomogeneous Bessel differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Bessel differential equation.
We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness. So...
Using quadrature formulae of the Gauss-Lobatto type, we give some new results for extremal problems with polynomials.
In 2007, Ozden et al. constructed generating functions of higher-order twisted (h, q)-extension of Euler polynomials and numbers, by using p-adic, q-deformed fermionic integral on ...
Variables
We establish Schur-convexities of two types of one-parameter mean values in
variables. As applications, Schur-convexities of some well-k...
By using Lyapunov functions and Razumikhin techniques, the strict stability of impulsive functional differential systems is investigated. Some comparison theorems are given by virtue of differential inequaliti...
Starting out from a question posed by T. Erdélyi and J. Szabados, we consider Schur-type inequalities for the classes of complex algebraic polynomials having no zeros within the unit disk ...
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