Mićić Hot, Jadranka and Pavić, Zlatko and Pečarić, Josip (2011) Jensen's inequality for operators without operator convexity. = Jensen's inequality for operators without operator convexity. Linear Algebra and Its Applications, 434 (5). pp. 1228-1237. ISSN 0024-3795. Vrsta rada: Original scientific paper. Kvartili JCR: Q2 (2011). .
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Abstract
We give 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 bounds of the operators. We also study operator quasi-arithmetic means under the same conditions. © 2010 Elsevier Inc. All rights reserved.
| Item Type: | Article (Original scientific paper) |
|---|---|
| Keywords (Croatian): | Convex functions; Linear mapping; Operator inequalities; Quasiarithmetic means; Self adjoint operator; Convex optimization; Mapping; Functions |
| Subjects: | NATURAL SCIENCES > Mathematics TECHNICAL SCIENCE |
| Divisions: | 1500 Chair of Mathematics |
| Indexed in Web of Science: | Yes |
| Indexed in Current Contents: | Yes |
| Citations JCR: | 11 (21.4.2015.) |
| Quartiles: | Q2 (2011) |
| Citations SCOPUS: | 14 (21.4.2015.) |
| Date Deposited: | 21 Apr 2015 11:50 |
| Last Modified: | 23 May 2017 11:25 |
| URI: | http://repozitorij.fsb.hr/id/eprint/3829 |
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