On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals

Abstract

In this paper, three fundamental and important Riemann-Liouville fractional integral identities including a twice differentiable mapping are established. Secondly, some interesting Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for m-convexity and (s, m)-convexity functions, respectively, by virtue of the established integral identities are presented.