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2011 Extension of Jensen's Inequality for Operators without Operator Convexity
Jadranka Mićić, Zlatko Pavić, Josip Pečarić
Abstr. Appl. Anal. 2011: 1-14 (2011). DOI: 10.1155/2011/358981


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.


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Jadranka Mićić. Zlatko Pavić. Josip Pečarić. "Extension of Jensen's Inequality for Operators without Operator Convexity." Abstr. Appl. Anal. 2011 1 - 14, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1221.47032
MathSciNet: MR2802840
Digital Object Identifier: 10.1155/2011/358981

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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