Refinement of Gini-Means Inequalities and Connections with Divergence Measures
Information Theory
2011-11-23 v1 math.IT
Abstract
In 1938, Gini studied a mean having two parameters. Later, many authors studied properties of this mean. It contains as particular cases the famous means such as harmonic, geometric, arithmetic, etc. Also it contains, the power mean of order r and Lehmer mean as particular cases. In this paper we have considered inequalities arising due to Gini-Mean and Heron's mean, and improved them based on the results recently studied by the author (Taneja, 2011).
Cite
@article{arxiv.1111.5241,
title = {Refinement of Gini-Means Inequalities and Connections with Divergence Measures},
author = {Inder Jeet Taneja},
journal= {arXiv preprint arXiv:1111.5241},
year = {2011}
}