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We give a Grüss-type inequality which is a refinement of a result due to Dragomir and Agarwal. We also give its applications for the moments of random variables, guessing mappings, and Ozeki's inequality.
Citation: Journal of Inequalities and Applications 2005 2005:918685
We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implic...
Citation: Journal of Inequalities and Applications 2005 2005:915890
By use of the concavity of solution for an associate boundary value problem, existence criteria of positive solutions are given for the Dirichlet BVP
Citation: Journal of Inequalities and Applications 2005 2005:862134
Let
be a strictly increasing sequence of natural numbers and let
Citation: Journal of Inequalities and Applications 2005 2005:639193
We introduce and study a new class of generalized nonlinear variational-like inequalities, which includes these variational inequalities and variational-like inequalities due to Bose, Cubiotti, Dien, Ding, Din...
Citation: Journal of Inequalities and Applications 2005 2005:634163
One-dimensional Hardy inequalities with weights and remainder terms are studied. The corresponding optimal constants are discussed. Then by the process of symmetrization, Hardy inequalities with remainder term...
Citation: Journal of Inequalities and Applications 2005 2005:628485
The implicit function theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of equations, as functions of the remaining variables. W...
Citation: Journal of Inequalities and Applications 2005 2005:373250
We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.
Citation: Journal of Inequalities and Applications 2005 2005:964140
We first prove local weighted Poincaré-type inequalities for differential forms. Then, by using the local results, we prove global weighted Poincaré-type inequalities for differential forms in John domains, wh...
Citation: Journal of Inequalities and Applications 2005 2005:867306
For the linear delay difference system
, where
is a
Citation: Journal of Inequalities and Applications 2005 2005:764965
We investigate the global asymptotic behavior of solutions of the system of difference equations
,
...
Citation: Journal of Inequalities and Applications 2005 2005:741584
The classical Bernstein pointwise estimate of the (first) derivative of a univariate algebraic polynomial on an interval has natural extensions to the multivariate setting. However, in several variables the do...
Citation: Journal of Inequalities and Applications 2005 2005:604086
We prove some common fixed point theorems for left reversible and near-commutative semigroups in compact and complete metric spaces, respectively. As applications, we get the existence and uniqueness of soluti...
Citation: Journal of Inequalities and Applications 2005 2005:414317
The well-known Krasnoselskii twin fixed point theorem is used to investigate the existence of mild solutions for first- and second-order impulsive semilinear functional and neutral functional differential equa...
Citation: Journal of Inequalities and Applications 2005 2005:357614
A general method is given in order to guarantee at least one nontrivial solution, as well as infinitely many radially symmetric solutions, for an abstract class of hemivariational inequalities. This abstract c...
Citation: Journal of Inequalities and Applications 2005 2005:147897
We establish optimal, in a sense, conditions under which, for arbitrary forcing terms from a suitable class, a linear inhomogeneous functional differential equation in a preordered Banach space possesses solut...
Citation: Journal of Inequalities and Applications 2005 2005:838609
We develop an inequality for the expectation of a product of
random variables generalizing the recent work of Dedecker and Doukhan (2003...
Citation: Journal of Inequalities and Applications 2005 2005:749795
The new extension of the weighted Montgomery identity is given by using Fink identity and is used to obtain some Ostrowski-type inequalities and estimations of the difference of two integral means.
Citation: Journal of Inequalities and Applications 2005 2005:724025
We will prove the Hyers-Ulam stability of the Butler-Rassias functional equation following an idea by M. T. Rassias.
Citation: Journal of Inequalities and Applications 2005 2005:635896
Let
denote the space of all holomorphic functions on the unit ball
Citation: Journal of Inequalities and Applications 2005 2005:434806
We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalizati...
Citation: Journal of Inequalities and Applications 2005 2005:402086
-harmonic tensors
We prove Poincaré-type estimates involving the Hodge codifferential operator and Green's operator acting on conjugate
-harmonic tensors.
Citation: Journal of Inequalities and Applications 2005 2005:315759
We give a refinement of the Poincaré inequality for Kolmogorov operators on
. This refinement yields some regularity result of the corres...
Citation: Journal of Inequalities and Applications 2005 2005:290493
The inequality discovered by L. K. Hua in 1965 has been generalized in several directions. In this paper, we adopt a certain conjugate method to give a simple and fundamental inequality on two functions on a s...
Citation: Journal of Inequalities and Applications 2005 2005:150678
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08 May 2020
04 September 2019
