Pregled bibliografske jedinice broj: 177101
A variant of Jensen-Steffensen's inequality and quasi-arithmetic means
A variant of Jensen-Steffensen's inequality and quasi-arithmetic means // Journal of mathematical analysis and applications, 306 (2005), 370-386 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 177101 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A variant of Jensen-Steffensen's inequality and quasi-arithmetic means
Autori
Abramovich, Shoshana ; Klaričić Bakula, Milica ; Matić, Marko ; Pečarić, Josip
Izvornik
Journal of mathematical analysis and applications (0022-247X) 306
(2005);
370-386
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen-Steffensen's inequality; monotonicity; quasi-arithmetic means; power means
Sažetak
A variant of Jensen-Steffensen's inequality is proved. Necessary and sufficient conditions for the equality in Jensen-Steffensen's inequality are established. Several inequalities involving more than two monotonic functions and generalized quasi-arithmetic means with not only positive weights are proved. It is shown that such generalized quasi-arithmetic means have the same comparability properties as those with positive weights.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
