On Some Integral Inequalities via h-Convexity

TL;DR

This paper introduces new integral inequalities for a class of h-convex functions that are supermultiplicative or superadditive, with applications to special means, expanding the theoretical framework of convex analysis.

Contribution

It develops novel inequalities for SX(h,I) convex functions with specific supermultiplicative or superadditive properties, and applies these results to special means.

Findings

Established new inequalities for SX(h,I) convex functions.

Extended inequalities to functions with supermultiplicative or superadditive properties.

Provided applications to special means.

Abstract

In this paper, we establish some new inequalities for class of SX(h,I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.