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A generalized quasilinearization technique is developed to obtain a sequence of approximate solutions converging monotonically and quadratically to a unique solution of a boundary value problem involving Duffi...
We investigate the stability of the bi-Jensen functional equation II
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalities can be used as basic tools in the study of the global asymptotic stability of the equilibrium of certain ...
We establish some new nonlinear Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. These inequalities generalize former results and can be used as handy tools to study the qualitative as w...
We discuss log-convexity for the differences of the Popoviciu inequalities and introduce some mean value theorems and related results. Also we give the Cauchy means of the Popoviciu type and we show that these...
We define a new general integral operator using Al-Oboudi differential operator. Also we introduce new subclasses of analytic functions. Our results generalize the results of Breaz, Güney, and Sălăgean.
-Jordan Homomorphisms on Banach Algebras
Let
, and let
be two rings. An additive map
We establish norm comparison inequalities with the Lipschitz norm and the BMO norm for the composition of the homotopy operator and the projection operator applied to differential forms satisfying the A-harmonic ...
-Euler Polynomials
The aim of this paper is to construct
-adic twisted two-variable Euler-(
-Integral
We give a sufficient condition for the interchangeability of the order of sum and
-integral by using inequality technique. As the applic...
The Schur convexity and Schur-geometric convexity of generalized Heronian means involving two parameters are studied, the main result is then used to obtain several interesting and significantly inequalities f...
We prove the regularity for solutions of parabolic hemivariational inequalities of dynamic elasticity in the strong sense and investigate the continuity of the solution mapping from initial data and forcing te...
For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is...
Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following functional inequalities
and
Sharp bounds for
are derived for certain classes
and
We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse strongl...
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an
-tuple of bounded l...
Painleve-Kuratowski convergence of the solution sets is investigated for the perturbed set-valued weak vector variational inequalities with a sequence of mappings converging continuously. The closedness and Pa...
In the paper "On logarithmic convexity for power sums and related results" (2008), we introduced means by using power sums and increasing function. In this paper, we will define new means of convex type in con...
Recently, the stability of the cubic functional equation
in fuzzy normed spaces was proved in earlier work; and the stability of the additive f...
The Erratum to this article has been published in Journal of Inequalities and Applications 2009 2009:214530
Let
be a holomorphic self-map and let
be a holomorphic fun...
Differential subordination methods are used to obtain several interesting subordination results and best dominants for higher-order derivatives of
Let
be an analytic self-map of the unit disk
, let
This paper is concerned with quadratic stabilization problem of linear parameter varying (LPV) systems, where arbitrary time-varying dependent parameters are belonging to a polytope. It provides improved linea...
We determine two constructions that, starting with two bivariate copulas, give rise to new bivariate and trivariate copulas, respectively. These constructions are used to determine pointwise upper and lower bo...
In this paper, we extend some Shafer-Fink-type inequalities for the inverse sine to arc hyperbolic sine, and give two simple proofs of these inequalities by using the power series quotient monotone rule.
Points for Functions Whose Second Derivatives Are Bounded
We first derive a perturbed Ostrowski-type inequality on time scales for
points for functions whose second derivatives are bounded and ...
The boundary value problem
,
,
...
We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is com...
Some inequalities to
-harmonic equation
have been proved. The
-Euler Polynomials and the
-Genocchi Polynomials of Higher Order
In 2007 and 2008, Kim constructed the
-extension of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have stu...
We investigate the following functional inequality
in Banach modules over a
We show that the generalized Cesàro sequence spaces possess the locally uniform nonsquare and have the fixed point property, but they are not uniformly nonsquare. This result is related to the result of the pa...
-Laplacian System Multipoint Boundary Value Problems
This paper investigates the existence of solutions for weighted
-Laplacian system multipoint boundary value problems. When the nonlinearity term...
Let the functions
be analytic and let
be analytic univalen...
Our aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall's inequality and comparison theorem. Our results unify and extend some delay integral inequalities and ...
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...
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