Inequalities via n-times differentiable convex functions

TL;DR

This paper develops new integral inequalities for functions that are convex and n-times differentiable, expanding the mathematical tools available for analyzing such functions.

Contribution

It introduces novel integral inequalities specifically for n-times differentiable convex functions, which were not previously established.

Findings

Derived new integral inequalities for convex functions

Extended classical inequalities to n-times differentiable cases

Provided mathematical tools for further research in convex analysis

Abstract

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.