Ostrowski type Inequalities for m- and (alpha,m)-geometrically convex functions via Riemann-Louville Fractional integrals

TL;DR

This paper develops new Ostrowski type inequalities for m- and (alpha,m)-geometrically convex functions, extending geometric convexity concepts using Riemann-Liouville fractional integrals.

Contribution

It introduces novel Ostrowski inequalities for generalized convex functions, broadening the scope of geometric convexity with fractional calculus techniques.

Findings

Established new inequalities for m- and (alpha,m)-geometrically convex functions.

Generalized geometric convexity concepts using Riemann-Liouville fractional integrals.

Extended classical inequalities to broader function classes.

Abstract

In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.