Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals

TL;DR

This paper develops new Hermite-Hadamard type inequalities for s-convex and s-concave functions using fractional integrals, extending existing results through a novel identity for Riemann-Liouville fractional integrals.

Contribution

It introduces a new identity for fractional integrals and derives Hermite-Hadamard inequalities for s-convex and s-concave functions based on this identity.

Findings

New identity for fractional integrals established

Derived Hermite-Hadamard inequalities for s-convex and s-concave functions

Results relate to and extend previous work by Avci et al.

Abstract

New identity for fractional integrals have been defined. By using of this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the result of Avci et al., proved in AKO.