Results 61 to 70 of about 2,341,083 (234)

An Ostrowski Type Inequality for Convex Functions [PDF]

open access: yes, 2002
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH ...
Dragomir, Sever Silvestru
core   +2 more sources

Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality

open access: yes, 2013
We give a short summary of Varopoulos' generalised Hardy-Littlewood-Sobolev inequality for self-adjoint $C_{0}$ semigroups and give a new probabilistic representation of the classical fractional integral operators on $\R^n$ as projections of martingale ...
Applebaum, David, Banuelos, Rodrigo
core   +1 more source

q-Hardy type inequalities for quantum integrals

open access: yesAdvances in Difference Equations, 2021
The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
doaj   +1 more source

Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane

open access: yesJournal of Function Spaces, 2018
By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained.
Dong-mei Xin, Bicheng Yang, Aizhen Wang
semanticscholar   +1 more source

Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity

open access: yes, 2012
In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal   +2 more
core   +1 more source

A more generalized Gronwall-like integral inequality with applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
doaj   +1 more source

On an integral inequality

open access: yesJournal of Numerical Analysis and Approximation Theory, 1989
Not available.
Horst Alzer
doaj   +2 more sources

Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]

open access: yesAbstract and Applied Analysis, 2014
We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.
Weerawat Sudsutad   +2 more
openaire   +4 more sources

A sharp integral inequality for the dyadic maximal operator and a related stability result

open access: yes, 2019
We prove a sharp integral inequality for the dyadic maximal operator due to which the evaluation of the Bellman function of this operator with respect to two variables is possible, as can be seen in [3].
Nikolidakis, Eleftherios N.
core   +1 more source

New results on composed variants of the Young integral inequality [PDF]

open access: yesSurveys in Mathematics and its Applications
In this article, we contribute to the theory of integral inequalities by developing new composed variants of the Young integral inequality. The novelties include some convexity assumptions on the composition function, allowing the use of original tools ...
Christophe Chesneau
doaj  

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