Reverses of Young Type Inequalities for Matrices Using the Classical Kantorovich Constant

In this article, we give some reverses of Young type inequalities which were established by Burqan and Khandaqji (J Math Inequal 9:113–120, 2015 ) applying the Kantorovich constant. As an application of these numerical versions, we study some matrix inequalities for the Hilbert–Schmidt norm and the...

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Bibliographic Details
Published in:	Resultate der Mathematik Vol. 74; no. 1
Main Authors:	Nasiri, Leila, Shakoori, Mahmood
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-03-2019
Subjects:	Mathematics Mathematics and Statistics reverse Young type inequality Hilbert–Schmidt norm 15A45 matrix inequalities classical Kantorovich constant 15A60 47A30
Online Access:	Get full text
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Summary:	In this article, we give some reverses of Young type inequalities which were established by Burqan and Khandaqji (J Math Inequal 9:113–120, 2015 ) applying the Kantorovich constant. As an application of these numerical versions, we study some matrix inequalities for the Hilbert–Schmidt norm and the trace norm.
ISSN:	1422-6383 1420-9012
DOI:	10.1007/s00025-018-0937-z