On the refinements of Jensen Mercer's inequality

In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples.

Bibliographic Details
Main Authors: M. Adil Khan, Asif R. Khan, J. Pečarić
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2012-01-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/969