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

Author:

Abdeljawad Thabet, ,Ali Muhammad Aamir,Mohammed Pshtiwan Othman,Kashuri Artion, , , , ,

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>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference27 articles.

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4. P. O. Mohammed, Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates, J. King Saud Univ. Sci., 30 (2018), 258-262.

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