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2013 Some Jensen Type Inequalities for Square-Convex Functions of Selfadjoint Operators in Hilbert Spaces
S. S. Dragomir
Commun. Math. Anal. 14(1): 42-58 (2013).

Abstract

Some Jensen type inequalities for square-convex 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.

Citation

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S. S. Dragomir. "Some Jensen Type Inequalities for Square-Convex Functions of Selfadjoint Operators in Hilbert Spaces." Commun. Math. Anal. 14 (1) 42 - 58, 2013.

Information

Published: 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1276.47019
MathSciNet: MR3040880

Subjects:
Primary: 47A63
Secondary: 47A99

Keywords: Convex functions , ‎functions of selfadjoint operators , Jensen's inequality , ‎positive operators , ‎selfadjoint operators

Rights: Copyright © 2013 Mathematical Research Publishers

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Vol.14 • No. 1 • 2013
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