Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures
Information Theory
2012-03-14 v1 math.IT
Abstract
From geometrical point of view, Eve (2003) studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean. We have considered for the first time a new measure calling generalized triangular discrimination. Inequalities among non-negative differences arising due to seven means and particular cases of generalized triangular discrimination are considered. Some new generating measures and their exponential representations are also presented.
Cite
@article{arxiv.1203.2778,
title = {Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures},
author = {Inder Jeet Tameja},
journal= {arXiv preprint arXiv:1203.2778},
year = {2012}
}