The inequality of Ky Fan and related results
type: Item
instance of: scholarly article
title: The inequality of Ky Fan and related results
zbMATH Open document ID: 0834.26013
DOI: 10.1007/BF00996150
author: Horst Alzer
published in: Acta Applicandae Mathematicae
publication date: 1996-03-31T00:00:00Z
review text: This survey paper presents refinements, extensions, and variants of the well-known Ky Fan inequality \[ \prod^n_{i = 1} \bigl( y_i/(1 - y_i) \bigr)^{1/n} < \sum^n_{i = 1} y_i \left/ \sum^n_{i = 1} \right. (1 - y_i), \] valid for all real numbers \(y_i \in (0,1/2]\) \((i = 1, \ldots, n)\) which are not all equal. In the list of 54 references, there are 24 of the author of this paper.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 790363
zbMATH Keywords: arithmetic mean
zbMATH Keywords: geometric mean
zbMATH Keywords: Ky Fan inequality
reviewed by: J. Pečarić
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 790363