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

Jinrong Wang, Xuezhu Li, Yong Zhou

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.