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On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
Journal article   Open access  Peer reviewed

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

Thabet Abdeljawad, Muhammad Aamir Ali, Pshtiwan Othman Mohammed, Artion Kashuri and Department of Medical Research, China Medical University, Taichung 40402, Taiwan
AIMS mathematics, Vol.6(1), pp.712-725
01/01/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.3934/math.2021043View
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