Open Access
2011 On a Jensen-Mercer operator inequality
A. Ivelic, A. Matkovic, J. E. Pecaric
Banach J. Math. Anal. 5(1): 19-28 (2011). DOI: 10.15352/bjma/1313362976

Abstract

A general formulation of the Jensen-Mercer operator inequality for operator convex functions, continuous fields of operators and unital fields of positive linear mappings is given. As consequences, a global upper bound for Jensen's operator functional and some properties of the quasi-arithmetic operator means and quasi-arithmetic operator means of Mercer's type are obtained.

Citation

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A. Ivelic. A. Matkovic. J. E. Pecaric. "On a Jensen-Mercer operator inequality." Banach J. Math. Anal. 5 (1) 19 - 28, 2011. https://doi.org/10.15352/bjma/1313362976

Information

Published: 2011
First available in Project Euclid: 14 August 2011

zbMATH: 1221.47031
MathSciNet: MR2738516
Digital Object Identifier: 10.15352/bjma/1313362976

Subjects:
Primary: 47A63
Secondary: 47A64

Keywords: continuous fields of operators , Jensen--Mercer operator inequality , Jensen's operator functional , operator convex functions , quasi-arithmetic operator means

Rights: Copyright © 2011 Tusi Mathematical Research Group

Vol.5 • No. 1 • 2011
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