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Refinements of Choi-Davis-Jensen's Inequality

Aujla, J. S and Dragomir, Sever S and Khosravi, M and Moslehian, M. S (2009) Refinements of Choi-Davis-Jensen's Inequality. Research report collection, 12 (3).

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Abstract

In this paper, we review some results concerning with Jensen’s inequality, some equivalent conditions to the operator convexity, inequalities involving eigenvalues and present some refinements of the Choi–Davis–Jensen inequality f(Ф(A)) ≤ Ф(f(A)) for strictly positive maps.

Item Type: Article
Uncontrolled Keywords: operator convex, Choi-Davis-Jensen's inequality, operator inequality, Hilbert C*-module, positive map
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 20:32
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17754
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