Hermite-Hadamard-type inequalities for <i>r</i>-convex functions using Riemann-Liouville fractional integrals

Abstract

By using two fundamental fractional integral identities, we derive some new Hermite – Hadamard-type inequalities for differentiable r-convex functions and twice-differentiable r-convex functions involving Riemann – Liouville fractional integrals.