Hermite–Hadamard-type inequalities for r-convex functions based on the use of Riemann–Liouville fractional integrals

Abstract

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