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-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 ...
This paper deals with new inverse-type Hilbert inequalities. Our results in special cases yield some of the recent results and provide some new estimates on such types of inequalities.
We give John-Nirenberg type inequalities for the Morrey-Campanato spaces on
.
Let
be a real Hilbert space,
a nonempty closed convex subset of
-Laplacian Equations with Exponential Nonlinearities
This paper investigates the
-Laplacian equations with exponential nonlinearities
...
We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common el...
Let
be a real
-uniformly smooth Banach space with constant
Let
denote the class of functions
that are harmonic unival...
We reinvestigate the convergence properties of the SQP-type method for solving nonlinear semidefinite programming problems studied by Correa and Ramirez (2004). We prove, under the strong second-order sufficie...
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most im...
and Applications
We use the
-binomial formula to establish two inequalities for the basic hypergeometric series
...
We use the potential theory to give integral representations of functions in the Sobolev spaces
, where
...
-Twisted Euler Polynomials and Numbers
The main purpose of this paper is to construct generating functions of higher-order twisted
-extension of Euler polynomials and numbers,...
This paper gives some local regularity results for minima of anisotropic functionals
...
We build a multiple Hilbert-type integral inequality with the symmetric kernel
and involving an integral operator
...
The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the porous medium equation
, is studied. S...
This paper generalizes results of Cheung and Ma (2005) to more general inequalities with more than one distinct nonlinear term. From our results, some results of Cheung and Ma (2005) can be deduced as some spe...
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functional equation
for fixed integer
We investigate properties of the zeros of solutions for higher-order periodic differential equations, and prove that under certain hypotheses, the convergence exponent of zeros of the product of two linearly i...
We introduce some approximate optimal solutions and a generalized augmented Lagrangian in nonlinear programming, establish dual function and dual problem based on the generalized augmented Lagrangian, obtain a...
We construct new twisted Euler polynomials and numbers. We also study the generating functions of the twisted Euler numbers and polynomials associated with their interpolation functions. Next we construct twis...
1-Order and Applications
Some character of the symmetric homogenous kernel of
1-order in Hilbert-type operator
...
We study the strong convergence of a hybrid steepest descent method with variable parameters for the general variational inequality (GVI)
-Laplacian Equations with Singular Nonlinearities
This paper investigates the
-Laplacian equations with singular nonlinearities
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