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) |
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| 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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