engleski

Some better bounds in converses of the Jensen operator inequality

In this paper we study converses of a generalized Jensen's inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real values continuous convex functions. We obtain some better bounds than the ones calculated in a series of papers in which these inequalities are studied. As an application, we provide a refined calculation of bounds in the case of power functions.

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

nije evidentirano