engleski

Refined Jensen's operator inequality and its converses

In this talk, we present refined Jensen's operator inequality for a continuous field of self-adjoint operators, a field of positive linear mappings and real valued continuous convex functions with conditions on the bounds of the operators. Furthermore, we present refined converses of a generalized Jensen’s inequality under the same conditions but without conditions on the bounds of the operators.

convex function; Jensen's operator inequality; Mond-Pe\v cari\' c method; self-adjoint operator; positive linear mapping

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