Inequalities via s-convexity and log-convexity

TL;DR

This paper derives new inequalities for functions with s-convex and log-convex second derivatives, providing applications in numerical integration to enhance approximation techniques.

Contribution

It introduces novel inequalities for s-convex and log-convex functions' second derivatives, expanding theoretical tools for analysis and numerical methods.

Findings

New inequalities for s-convex functions

New inequalities for log-convex functions

Applications to numerical integration

Abstract

In this paper, we obtain some new inequalities for functions whose second derivatives' absolute value is s-convex and log-convex. Also, we give some applications for numerical integration.