Pregled bibliografske jedinice broj: 348826
Jensen-Mercer inequality
Jensen-Mercer inequality // 3rd International Conference on 21st Century Mathematics 2007
Lahore, Pakistan, 2007. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
CROSBI ID: 348826 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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, 04.03.2007. - 07.03.2007
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
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
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split
