Generalization of some inequalities via Riemann-Liouville fractional calculus

Abstract

Abstract. Some Hermite-Hadamard type inequalities are provided. We deal with functions whose derivatives in absolute value are convex or concave. By defining two cumulative gaps which enable us to generalize known results in the framework of RiemannLiouville fractional calculus, we open a new perspective on the classic statement of the inequality.