Refinements of Choi-Davis-Jensen's Inequality

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

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
URI https://vuir.vu.edu.au/id/eprint/17754
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords operator convex, Choi-Davis-Jensen's inequality, operator inequality, Hilbert C*-module, positive map
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