Extension of Jensen's Inequality for Operators without Operator Convexity

Jadranka Mićić, Zlatko Pavić and Josip Pečarić

Abstract and Applied Analysis, 2011, vol. 2011, 1-14

Abstract:

We give an extension of Jensen's inequality for ð ‘› -tuples of self-adjoint operators, unital ð ‘› -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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:358981

DOI: 10.1155/2011/358981

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