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Jensen's Operator Inequality for Functions of Several Variables

Araki, Huzihiro and Hansen, Frank (1998) Jensen's Operator Inequality for Functions of Several Variables. RGMIA research report collection, 2 (6).

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Abstract

The operator convex functions of several variables are characterized in terms of a non-cummutative generalization of Jensen's inequality, extending previous results of F. Hansen and G.K. Pedersen for functions of one variable and of F. Hansen for functions of two variables.

Item Type: Article
Uncontrolled Keywords: Jensen's inequality, operator convex functions, functions of several variables
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 00:37
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17261
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