Extension of Jensen′s Inequality for Operators without Operator Convexity

Jadranka Mićić, Zlatko Pavić and Josip Pečarić

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

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.

Date: 2011
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https://doi.org/10.1155/2011/358981

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:358981

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