Jensen's inequality and $m$-convex functions

Author(s):

Hasan Barsam *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we generalize the Jensen's inequality for $m$-convex functions and we present a correction of Jensen's inequality which is a better than the generalization of this inequality for $m$-convex functions. Finally we have found new lower and upper bounds for Jensen's discrete inequality.

Keywords:

Jensen's inequality , $m$-convex function , convex function , Inequality

Language:
English
Published:
Wavelets and Linear Algebra, Volume:8 Issue: 2, Autumn and Winter 2021
Pages:
43 to 51
https://www.magiran.com/p2413849