Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces

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Dragomir, Sever S (2008) Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces. Research report collection, 11 (Supp).

Abstract

Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17977
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords selfadjoint operators, positive operators, Jensen's inequality, convex functions, functions of selfadjoint operators
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