Results 1 to 10 of about 264 (138)

Extensions for a refinement of the Hermite -Hadamard inequality

Annals of the West University of Timisoara: Mathematics and Computer Science
We extend a refinement of the Hermite-Hadamard inequality to other convex functions, thus some integral of these convex functions can be estimated by series. We also generalize part of this refinement by introducing one more parameter, then the Stolarsky
Miao JinYan, Dragomir Silvestru Sever
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Bullen–Simpson–Mercer type inequalities

Open Mathematics
The main objective of our paper is to establish a new set of Bullen–Simpson type inequalities concerning the Jensen–Mercer's inequality. At first, we derive a new general Bullen–Simpson–Mercer's identity, with which we get out primary consequences ...
Vukelić Ana
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Sharp Sobolev Inequalities via Projection Averages. [PDF]

J Geom Anal, 2021
Kniefacz P, Schuster FE.
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Extensions of two referenced forms of the Hilbert integral inequality

Annals of the West University of Timisoara: Mathematics and Computer Science
This article demonstrates the broader flexibility of the techniques developed in previous studies, showing that they can be adapted to cover a wider range of Hilbert-type integral inequalities.
Chesneau Christophe
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Refined Young Inequality and Its Application to Divergences. [PDF]

Entropy (Basel), 2021
Furuichi S, Minculete N.
europepmc   +1 more source

Inequalities for Jensen-Sharma-Mittal and Jeffreys-Sharma-Mittal Type f-Divergences. [PDF]

Entropy (Basel), 2021
Kluza PA.
europepmc   +1 more source

On certain trilinear oscillatory integral inequalities

Advanced Nonlinear Studies
Inequalities are established for certain trilinear scalar-valued functionals. These functionals act on measurable functions of one real variable, are defined by integration over two- or three-dimensional spaces, and are controlled in terms of Lebesgue ...
Christ Michael
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Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations

Journal of Inequalities and Applications, 2011
In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming, Zheng Bin, Zhou Jinchuan, Feng Qinghua, Meng Fanwei   +4 more
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Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
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On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng, Meftah Badreddine, Xu Hongyan, Jarad Fahd, Lakhdari Abdelghani   +4 more
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