n-Exponential convexity for Favard's and Berwald's inequalities and their applications

Abstract

In this paper, we give generalization of the results given in [5],[6],[7],[9] and [10] by using second order divided differences, also discuss n-exponential convexity of different positive linear functionals defined on special classes of functions. Some applications in terms of exponential convexity are also given with Cauchy type means in terms of weighted power means.