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Extension of Jensen's inequality for operators without operator convexity (CROSBI ID 172458)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Mićić, Jadranka ; Pavić, Zlatko ; Pečarić, Josip Extension of Jensen's inequality for operators without operator convexity // Abstract and applied analysis, 2011 (2011), 358981-1-358981-14. doi: 10.1155/2011/358981

Podaci o odgovornosti

Mićić, Jadranka ; Pavić, Zlatko ; Pečarić, Josip

engleski

Extension of Jensen's inequality for operators without operator convexity

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 quasi-arithmetic means under the same conditions.

self-adjoint operator; positive linear mapping; convex function; Jensen's operator inequality; quasi-arithmetic mean

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Podaci o izdanju

2011

2011.

358981-1-358981-14

objavljeno

1085-3375

10.1155/2011/358981

Povezanost rada

Računarstvo, Matematika

Poveznice
Indeksiranost