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Pregled bibliografske jedinice broj: 336081

On Van de Lune - Alzer's inequality


Abramovich, Shoshana; Barić, Josipa; Matić, Marko; Pečarić, Josip
On Van de Lune - Alzer's inequality // Journal of Mathematical Inequalities, 1 (2007), 4; 563-587 (podatak o recenziji nije dostupan, članak, znanstveni)


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


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb

Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts