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Mathematical Inequalities & Applications
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Mathematical Inequalities & Applications
Article . 2011 . Peer-reviewed
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https://dx.doi.org/10.7153/mia...
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Extensions of inequalities involving Kantorovich constant

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:Element d.o.o.Journal:Mathematical Inequalities & Applications (issn: 1331-4343, Copyright policy )
Authors: Marek Niezgoda;

doi: 10.7153/mia-14-79

Extensions of inequalities involving Kantorovich constant

Abstract

In this paper, two methods of extending inequalities involving Kantorovich constant are presented. An inequality of Micic et al. [Linear Algebra Appl., 318 (2000), 87–107] on positive linear maps and geometric mean of positive definite matrices is extended to arbitrary matrices having accretive transformation. A result of Dragomir [JIPAM 5 (3), Art.76, 2004] is applied to give new sufficient conditions for Greub-Reinboldt’s inequality to hold. Mathematics subject classification (2010): 15A45, 15A48, 15A42.

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selected citations
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BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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