Jensen's Operator Inequality for Functions of Several Variables

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

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
URI https://vuir.vu.edu.au/id/eprint/17261
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Jensen's inequality, operator convex functions, functions of several variables
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