Pregled bibliografske jedinice broj: 379156
Integral representations of generalized Whiteley means and related inequalities
Integral representations of generalized Whiteley means and related inequalities // 4th Croatian Mathematical Congress
Osijek: Hrvatsko matematičko društvo, 2008. str. 49-50 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 379156 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Integral representations of generalized Whiteley means and related inequalities
Autori
Pečarić, Josip ; Perić, Ivan ; Rodić Lipanović, Mirna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
4th Croatian Mathematical Congress
/ - Osijek : Hrvatsko matematičko društvo, 2008, 49-50
Skup
4th Croatian Mathematical Congress
Mjesto i datum
Osijek, Hrvatska, 17.06.2008. - 20.06.2008
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
complete symmetric polynomials; complete symmetric means; generalized Whiteley means; integral representations; Schur's inequality; Schur's convexity.
Sažetak
This talk is based on the paper [J. Pečarić, I. Perić, M. Rodić Lipanović: Integral representations of generalized Whiteley means and related inequalities, accepted for publication in Math. Inequal. Appl. (2007)]. The main purpose of this talk is to give two integral representations of generalized Whiteley means which are natural generalization of complete symmetric means. Various applications are given, mainly towards obtaining inequalities characteristic for complete symmetric means such as Schur's inequality. The Schur convexity of this means and related complete symmetric functions is also discussed.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb