Pregled bibliografske jedinice broj: 273557
On Bicheng-Debnath's generalizations of Hardy's integral inequality
On Bicheng-Debnath's generalizations of Hardy's integral inequality // International Journal of Mathematics and Mathematical Sciences, 27 (2001), 4; 237-250 doi:10.1155/S0161171201005816 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 273557 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Bicheng-Debnath's generalizations of Hardy's integral inequality
Autori
Čižmešija, Aleksandra ; Pečarić, Josip
Izvornik
International Journal of Mathematics and Mathematical Sciences (0161-1712) 27
(2001), 4;
237-250
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hardy's inequality; best possible constants
Sažetak
We consider Hardy's integral inequality and we obtain some new generalizations of Bicheng- Debnath's recent results. We derive two distinguished classes of inequalities covering all admissible choices of parameter k from Hardy's original relation. Moreover, we prove the constant factors involved in the right-hand sides of some particular inequalities from both classes to be the best possible, that is, none of them can be replaced with a smaller constant.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
