New Riemann-Liouville fractional Hermite-Hadamard inequalities via two kinds of convex functions

Abstract

In this paper, we establish another important integral identity for once differentiable function involving Riemann-Liouville fractional integrals, which will be used to derive some new Riemann-Liouville fractional Hermite-Hadamard inequalities via r-convex function and geometric-arithmetically s-convex function respectively.

Keywords:

• Fractional Hermite-Hadamard inequalities
• Riemann-Liouville fractional integrals r-convex function
• Geometric-Arithmetically s-convex function

Mathematics Subject Classification 2010:

• 26A33
• 26A51
• 26D15