On some inequalities for m- and (alpha,m)-logarithmically convex functions

TL;DR

This paper introduces new integral inequalities for m- and (alpha,m)-logarithmically convex functions, expanding the mathematical understanding of these convexity classes.

Contribution

It establishes novel integral inequalities specifically for m- and (alpha,m)-logarithmically convex functions, which were not previously studied.

Findings

Derived new integral inequalities for m-logarithmically convex functions.

Extended inequalities to (alpha,m)-logarithmically convex functions.

Enhanced the theoretical framework for convexity-based inequalities.

Abstract

In this paper, we establish some new integral inequalities for for m- and (alpha,m)-logarithmically convex functions.