Banach Journal of Mathematical Analysis

On a Jensen-Mercer operator inequality

A. Ivelic, A. Matkovic, and J. E. Pecaric

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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.

Article information

Banach J. Math. Anal., Volume 5, Number 1 (2011), 19-28.

First available in Project Euclid: 14 August 2011

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Zentralblatt MATH identifier

Primary: 47A63: Operator inequalities
Secondary: 47A64: Operator means, shorted operators, etc.

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


Ivelic, A.; Matkovic, A.; Pecaric, J. E. On a Jensen-Mercer operator inequality. Banach J. Math. Anal. 5 (2011), no. 1, 19--28. doi:10.15352/bjma/1313362976.

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