Hermite-Hadamard Inequalities Involving Riemann-Liouville Fractional Integrals via $s$-convex Functions and Applications to Special Means

Abstract

In this paper, we establish some new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals via $s$-convex functions in the second sense. Meanwhile, we present many useful estimates on these types of new Hermite-Hadamard type inequalities. Some applications to special means of real numbers are given.