New general integral inequalities for (alpha;m)-ga-convex functions via hadamard fractional integrals

TL;DR

This paper introduces new integral inequalities for (alpha;m)-GA-convex functions using Hadamard fractional integrals, extending classical inequalities like Hadamard, Ostrowski, and Simpson.

Contribution

It presents a novel identity for Hadamard fractional integrals and derives generalized inequalities for (alpha;m)-GA-convex functions, expanding the theoretical framework.

Findings

New identity for Hadamard fractional integrals

Generalized inequalities for (alpha;m)-GA-convex functions

Extensions of classical inequalities like Hadamard, Ostrowski, and Simpson

Abstract

In this paper, the authors gives a new identity for Hadamard fractional integrals. By using of this identity, the authors obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (alpha?;m)-GA-convex function via Hadamard fractional integral.