Results 61 to 70 of about 2,341,083 (234)
An Ostrowski Type Inequality for Convex Functions [PDF]
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
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Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality
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
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q-Hardy type inequalities for quantum integrals
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
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
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
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A more generalized Gronwall-like integral inequality with applications
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
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Not available.
Horst Alzer
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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
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
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]
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

