An extension of the Pólya--Szegö operator inequality

We extend an operator P\'{o}lya--Szeg\"{o} type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pečarić method, we present some other related operator inequalities as well.

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Bibliographic Details
Published inarXiv.org
Main Authors Hoa, D T, Moslehian, M S, Conde, C, Zhang, P
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 13.10.2016
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Summary:We extend an operator P\'{o}lya--Szeg\"{o} type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pečarić method, we present some other related operator inequalities as well.
ISSN:2331-8422