engleski

Refined converses of Jensen's inequality for operators

In this paper converses of a generalized Jensen’s inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real-valued continuous convex functions are studied. New refined converses are presented by using the Mond-Pečarić method improvement. Obtained results are applied to refine selected inequalities with power functions.

Mond-Pečarić method; self-adjoint operator; positive linear mapping; converse of Jensen’s operator inequality; convex function

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