On the Ky Fan inequality
type: Item
instance of: scholarly article
title: On the Ky Fan inequality
zbMATH Open document ID: 1005.26013
DOI: 10.1016/S0022-247X(02)00009-4
author: F. P. Scarmozzino
author: Silvestru Sever Dragomir
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-07-08T00:00:00Z
review text: The Ky Fan inequality asserts that \[ \left[ \prod_{i=1}^{n}x_{i}\biggl/\prod_{i=1}^{n}(1-x_{i})\right] <\sum_{i=1}^{n}x_{i}\biggr/\sum_{i=1}^{n}(1-x_{i}), \] provided the \(x_{i}\)'\(~\)s are elements in \((0,1/2]\), not all equal. The paper under review contains a stronger form of this inequality in the weighted case, as well as an estimate of the result obtained.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 1764674
zbMATH Keywords: Ky Fan inequality
zbMATH Keywords: arithmetic and geometric means
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1764674