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A variant of Jensen's inequality of Mercer's type for operators with applications (CROSBI ID 128562)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Matković, Anita ; Pečarić, Josip ; Perić, Ivan A variant of Jensen's inequality of Mercer's type for operators with applications // Linear algebra and its applications, 418 (2006), 2-3; 551-564-x

Podaci o odgovornosti

Matković, Anita ; Pečarić, Josip ; Perić, Ivan

engleski

A variant of Jensen's inequality of Mercer's type for operators with applications

A variant of Jensen's operator inequality for convex functions, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means for operators, and a comparison theorem for quasi-arithmetic means for operators.

Jensen's operator inequality; monotonicity; power means; quasi-arithmetic means

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Podaci o izdanju

418 (2-3)

2006.

551-564-x

objavljeno

0024-3795

Povezanost rada

Matematika