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izvorni znanstveni rad · 2010

Converses of Jensen’s operator inequality

dr. sc. Jadranka Mićić Hot, prof. v. š.

Sažetak

We give a generalization of converses of Jensen's operator inequality for fields of positive linear mappings $(phi_t)_{; ; t in T}; ; $ such that $int_T phi_t(1) dmu(t) = k 1$ for some positive scalar k. We consider different types of converse inequalities.

Ključne riječi

converses of Jensen's operator inequality convex function Mond-Pecaric method power functions power means