engleski

Refining some inequalities involving quasi- arithmetic means

In this paper we re ne some inequalities involving quasi-arithmetic means for a continuous eld of self-adjoint operators, a eld of positive linear mappings and continuous strictly monotone functions which induce means. New re ned converses are presented by using the Mond-Pecaric method improvement. Obtained results are applied to re ne selected inequalities with power functions.

quasi-arithmetic mean; power mean; self-adjoint operator; positive linear mapping; converse of Jensen's operator inequality; convex function

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