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Zbl 1221.47031
Ivelić, S.; Matković, A.; Pečarić, J.
On a Jensen-Mercer operator inequality. (English)
[J] Banach J. Math. Anal. 5, No. 1, 19-28, electronic only (2011). ISSN 1735-8787/e

The Jensen-Mercer operator inequality has been proved by the authors in [Linear Algebra Appl. 418, No.~2--3, 551--564 (2006; Zbl 1105.47017)]. In the present paper, the authors obtain a general formulation of the Jensen-Mercer operator inequality. In fact, they obtain the Jensen-Mercer operator inequality for operator convex functions, for continuous fields of operators and for unital fields of positive linear mappings. Then the authors obtain an upper global bound of Jensen's operator functional as an application of the result.
[Takeaki Yamazaki (Kawagoe)]

MSC 2000:: *47A63 Operator inequalities, etc.
47A64 Operator means etc.

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

Citations: Zbl 1105.47017

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