engleski

On a Jensen-Mercer operator inequality

We give a general form of the Jensen-Mercer operator inequality for convex functions and its refinement for operator convex functions, continuous fields of operators and unital fields of positive linear mappings. As consequences, we obtain a global upper bound for the Jensen's operator functional, and some properties of the quasi-arithmetic operator means, and quasi-arithmetic operator means of Mercer's type.

Jensen-Mercer operator inequality; operator convex functions

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