Integral inequalities for mappings whose derivatives are s-convex in the second sense and applications to special means for positive real numbers

TL;DR

This paper develops new integral inequalities for differentiable s-convex functions in the second sense and applies these results to derive inequalities involving special means of positive real numbers.

Contribution

It introduces novel integral inequalities for s-convex functions and demonstrates their applications to inequalities between special means of positive real numbers.

Findings

Established new integral inequalities for s-convex functions

Derived inequalities relating to special means of positive real numbers

Applied classical inequalities to obtain these results

Abstract

In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related to the s-convex functions and apply these inequalities to special means for positive real numbers.