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Jensen-Mercer inequality


Matković, Anita; Pečarić, Josip
Jensen-Mercer inequality // 3rd International Conference on 21st Century Mathematics 2007
Lahore, Pakistan, 2007. (predavanje, neobjavljeni rad, znanstveni)


Naslov
Jensen-Mercer inequality

Autori
Matković, Anita ; Pečarić, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
3rd International Conference on 21st Century Mathematics 2007

Mjesto i datum
Lahore, Pakistan, 04-07. 03. 2007.

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Neobjavljeni rad

Ključne riječi
Jensen's inequality; convex functions; power means; quasi-arithmetic means

Sažetak
We consider the Jensen-Mercer inequality in various spaces and for several types real valued functions. This also enables us to define a variety of weighted means and to explore their relationships. Besides of the Mercer's variant of Jensen's inequality, we show analogous variant of the Jensen-Steffensen inequality, from which similar variants of some other well-known inequalities, such as Čebyšev's inequality for monotone n-tuples, Milne's inequality, Beck's and related inequalities for means with weights satisfying conditions of Jensen-Steffensen's type, can be obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split