Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense via fractional integrals

TL;DR

This paper develops Hermite-Hadamard type inequalities for functions with derivatives that are s-convex or concave in the second sense, using fractional integrals to extend classical inequalities.

Contribution

It introduces new Hermite-Hadamard inequalities for s-convex and concave derivatives via fractional integrals, expanding the scope of classical inequalities.

Findings

Derived new inequalities for s-convex derivatives

Extended Hermite-Hadamard inequalities using fractional calculus

Applicable to functions with specific convexity and concavity properties

Abstract

In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense and concave.