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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
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On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals

Authors: Thabet Abdeljawad; Muhammad Aamir Ali; Pshtiwan Othman Mohammed; Artion Kashuri;

On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals

Abstract

<abstract> <p>The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard-Mercer type inequality for differentiable convex functions. Further remarks and observations for these results are given. Finally, we see the efficiency of our inequalities via some applications on special means.</p> </abstract>

Keywords

riemann-liouville fractional integral, jensen-mercer inequality, hermite-hadamard-mercer inequality, Inequalities involving derivatives and differential and integral operators, Hermite-Hadamard-Mercer inequality, Fractional derivatives and integrals, Jensen-Mercer inequality, QA1-939, Inequalities for sums, series and integrals, Riemann-Liouville fractional integral, Inequalities involving other types of functions, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Top 10%
Top 10%
Top 10%
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