Inequalities having Seven Means and Proportionality Relations
History and Overview
2012-03-13 v1
Abstract
Eve (2003), studied seven means from geometrical point of view. These means are \textit{Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean}. Some of these means are particular cases of Gini's (1938) mean of order r and s. In this paper we have established some proportionality relations having these means. Some inequalities among some of differences arising due to seven means inequalities are also established.
Keywords
Cite
@article{arxiv.1203.2288,
title = {Inequalities having Seven Means and Proportionality Relations},
author = {Inder Jeet Taneja},
journal= {arXiv preprint arXiv:1203.2288},
year = {2012}
}