engleski

On a Jensen-Mercer Operator Inequality

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.

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

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