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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
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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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