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The inequality of Ky Fan and related results

Authors:

Horst Alzer

Institution:

1. Morsbacher Str. 10, 51545, Waldbr?l, Germany

Abstract:

In this survey paper, we present refinements, extensions, and variants of the inequality

$\mathop \Pi \limits_{i = 1}^n (x_i (1 - x_i ))^{1/n}< \sum\limits_{i = 1}^n {x_i } /\sum\limits_{i = 1}^n {(1 - x_i ),}$

Keywords:	Mathematics subject classification (1991)" target="_blank">Mathematics subject classification (1991) 26D15
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