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izvorni znanstveni rad · 2012

Order among quasi-arithmetic means of positive operators

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

Sažetak

As a continuation of our previous research [J. Mićić, J. Pečarić and Y. Seo, Converses of Jensen's operator inequality, Oper. Matrices, 4 (2010) 385-403], we discuss order among quasi-arithmetic means of positive operators with fields of positive linear mappings (phi_t)_{;tin T}; such that int_T phi_t(1) = k for some positive scalar k.

Ključne riječi

quasi-arithmetic mean power mean Jensen's inequality Mond-Pečarić method positive linear map positive operator