Pregled bibliografske jedinice broj: 336081
On Van de Lune - Alzer's inequality
On Van de Lune - Alzer's inequality // Journal of Mathematical Inequalities, 1 (2007), 4; 563-587 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 336081 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Van de Lune - Alzer's inequality
Autori
Abramovich, Shoshana ; Barić, Josipa ; Matić, Marko ; Pečarić, Josip
Izvornik
Journal of Mathematical Inequalities (1846-579X) 1
(2007), 4;
563-587
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
sequences ; convex functions ; inequalities
Sažetak
In this paper it is shown that the inequality known in the literature as Alzer’ s inequality (1993), has already been known since 1975. and is due to Jan van de Lune. A review of different methods in proving Van de Lune - Alzer’ s inequality and generalizations in a several directions, is given. It is shown how some results and proofs can be corrected, refined and extended. New results, inspired by the generalization of Van de Lune - Alzer’ s inequality for increasing convex sequences presented by N. Elezović and J. Pečarić, are obtained.
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:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
