Bifractional inequalities and convex cones
type: Item
instance of: scholarly article
title: Bifractional inequalities and convex cones
zbMATH Open document ID: 1091.26019
author: M. Niezgoda
published in: Discrete Mathematics
publication date: 2006-03-29T00:00:00Z
review text: Let \(V\) be a real linear space equipped with an inner product \(\left\langle .,.\right\rangle .\) The author gives three characterizations of the vectors \( y,z\in V\) with the property that the inequality \(\left\langle z,x\right\rangle \left\langle y,v\right\rangle \leq \left\langle z,y\right\rangle \left\langle x,v\right\rangle \) is valid for given vectors \( v\) and \(x\) in \(V.\) Using them he studies more inequalities of this type like those of Chebyshev, Andersson, Seitz, or the reviewer. Replacing the property of synchronicity by the separability of pairs of vectors, the range of applicability of the above-mentioned inequalities is extended.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 5016261
zbMATH Keywords: convex cone
zbMATH Keywords: dual cone
zbMATH Keywords: bifractional inequality
zbMATH Keywords: Chebyshev inequality
zbMATH Keywords: Andersson inequality
zbMATH Keywords: Seitz inequality
reviewed by: Gheorghe Toader
MaRDI profile type: Publication
full work available at URL: j.disc.2005.12.013
OpenAlex ID: W2018298446
cites work: Andersson's inequality
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cites work: Analytic Inequalities
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cites work: On an inequality of Seitz
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cites work: Q4821367
DOI: 10.1016/J.DISC.2005.12.013
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description: scientific article; zbMATH DE number 5016261