Extension of Jensen's inequality for operators without operator convexity

Mićić Hot, Jadranka and Pavić, Zlatko and Pečarić, Josip (2011) Extension of Jensen's inequality for operators without operator convexity. = Extension of Jensen's inequality for operators without operator convexity. Abstract and Applied Analysis, 2011. ISSN 1085-3375. Vrsta rada: Original scientific paper. Kvartili JCR: Q1 (2011). .

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Abstract

We give an extension of Jensen's inequality for n-tuples of self-adjoint operators, unital n-tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds. We also study operator quasiarithmetic means under the same conditions. © 2011 Jadranka Micic et al.

Item Type: Article (Original scientific paper)
Keywords (Croatian): self-adjoint operator; positive linear mapping; convex function; Jensen's operator inequality; quasi-arithmetic mean
Subjects: NATURAL SCIENCES > Mathematics
TECHNICAL SCIENCE
Divisions: 1500 Chair of Mathematics
Indexed in Web of Science: Yes
Indexed in Current Contents: Yes
Citations JCR: 2 (22.4.2015.)
Quartiles: Q1 (2011)
Citations SCOPUS: 6 (22.4.2015.)
Date Deposited: 22 Apr 2015 12:30
Last Modified: 23 May 2017 11:25
URI: http://repozitorij.fsb.hr/id/eprint/3783

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