On converses of some comparison inequalities for homogeneous means

Authors : Zhenhang YANG

Pages : 629-644

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Publication Date : 2017-08-01

Article Type : Research Paper

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