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

Abstract

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.

Keywords

• riemann-liouville fractional integral
• hermite-hadamard-mercer inequality
• jensen-mercer inequality