Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via strongly h-convex functions

Abstract

In this paper, the Hermite-Hadamard type inequalitis for Riemann-Liouville fractional integrals via strongly h -convex functions are established. Furthermore, we obtain some identities related to the fractional integrals with n -times differentiable functions, and then gain midpoint type and trapezoid type error estimates connected with the Hermite-Hadamard type inequalities, which generalize some known results.