Some new integral inequalities for Lipschitzian functions

Abstract

This paper is about obtaining some new type of integral inequalities for functionsfrom the Lipschitz class. For this, some new integral inequalities related to thedifferences between the two different types of integral averages for Lipschitzianfunctions are obtained. Moreover, applications for some special means asarithmetic, geometric, logarithmic, 𝑝-logarithmic, harmonic, identric are given.