Inequalities having Seven Means and Proportionality Relations

Details Inequalities having Seven Means and Proportionality Relations Inequalities having Seven Means and Proportionality Relations

2012-03-08

arxiv.org/abs/1203.2288v1

Mathematics

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Scientific paper

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.

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