An estimate of quasi-arithmetic mean for convex functions

Mićić Hot, Jadranka and Seo, Yuki and Pečarić, Josip (2012) An estimate of quasi-arithmetic mean for convex functions. = An estimate of quasi-arithmetic mean for convex functions. Scientiae Mathematicae Japonicae Online, e-2012. pp. 237-247. ISSN 1346-0862. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. . Točan broj autora: 3.

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Abstract

For a selfadjoint operator A on a Hilbert space H and a normalized positive linear map Phi, a quasi-arithmetic mean is defined by phi^-1(Phi(phi(A)) for a strictly monotone function phi. In this paper, we shall show an order relation among quasi-arithmetic means for convex functions through positive linear maps and its complementary problems, in which we use the Mond-Pečarić method for convex functions.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): heat treatment, hardening, oils, quenchants, quenchant additives, cooling rate
Subjects: TECHNICAL SCIENCE > Computing
Divisions: 1500 Chair of Mathematics
Indexed in Web of Science: No
Indexed in Current Contents: No
Date Deposited: 17 Mar 2016 16:06
Last Modified: 23 May 2017 11:29
URI: http://repozitorij.fsb.hr/id/eprint/5250

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