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

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...

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Published inAIMS mathematics Vol. 6; no. 1; pp. 712 - 725
Main Authors Abdeljawad, Thabet, Ali, Muhammad Aamir, Mohammed, Pshtiwan Othman, Kashuri, Artion
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
hermite-hadamard-mercer inequality
jensen-mercer inequality
riemann-liouville fractional integral
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021043