Pregled bibliografske jedinice broj: 366518
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions // Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 9 (2008), 3; 62-1 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 366518 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions
Autori
Abramovich, Shoshana ; Barić, Josipa ; Pečarić, Josip
Izvornik
Journal of Inequalities in Pure and Applied Mathematics (JIPAM) (1443-5756) 9
(2008), 3;
62-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Isotonic linear functionals; Jessen's inequality; Superquadratic functions; Functional quasi-arithmetic and power means of Mercer's type.
Sažetak
A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts