Some Generalizations of Jensen's Inequality
Classical Analysis and ODEs
2020-11-24 v1
Abstract
In this article we give some improvements and generalizations of the famous Jensen's and Jensen-Mercer inequalities for twice differentiable functions, where convexity property of the target function is not assumed in advance. They represents a refinement of these inequalities in the case of convex/concave functions with numerous applications in Theory of Means and Probability and Statistics.
Cite
@article{arxiv.2011.10746,
title = {Some Generalizations of Jensen's Inequality},
author = {Slavko Simic},
journal= {arXiv preprint arXiv:2011.10746},
year = {2020}
}