On converses of some comparison inequalities for homogeneous means

Year 2017, Volume: 46 Issue: 4, 629 - 644, 01.08.2017

Zhen-hang Yang

Abstract

In this paper, the necessary and suffcient conditions for the converses of comparison inequalities for Stolarsky means and for Gini means to hold are proved, and the necessary and suffcient conditions for some companion inequalities for bivariate means to hold are given, which unify, generalize and improve known results.

Keywords

Stolarsky means, Gini means, Inequality, Monotonicity, Convexity

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