Applications of Hölder-İşcan inequality for n-times differentiable (s,m)-convex functions

Abstract

In this work, Hölder-Isçan inequality is used for the class of n-times differentiable (s,m)-convex functions. The outcomes are new Hermite-Hadamard type inequalities and modified integrals are estimated by better bounds. Special cases are deduced as the existing results from literature. Furthermore, some applications to arithmetic, geometric and logarithmic means are also presented.

Keywords

• (s，m)-convex function
• n-times differentiable functions
• hermite-hadamard inequalities
• hölder-isçan inequality
• means