Pregled bibliografske jedinice broj: 169752
Generalization of Hilbert's and Hardy-Hilbert's Integral Inequality
Generalization of Hilbert's and Hardy-Hilbert's Integral Inequality // Mathematical Inequalities and Applications, 8 (2005), 2; 259-272 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 169752 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of Hilbert's and Hardy-Hilbert's Integral Inequality
Autori
Bicheng, Yang ; Brnetić, Ilko ; Krnić, Mario ; Pečarić, Josip
Izvornik
Mathematical Inequalities and Applications (1331-4343) 8
(2005), 2;
259-272
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities; multiple Hilbert's inequality; multiple Hardy-Hilbert's inequality; beta function; gamma function; equivalent inequalities; best possible constant
Sažetak
The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We establish general form of multiple Hilbert-type inequality and we also introduce multiple inequality of Hardy-Hilbert type. Further, the best possible constants are obtained for some general cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
