Pregled bibliografske jedinice broj: 349580
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters // Mathematical inequalities & applications, 11 (2008), 4; 701-716 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 349580 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters
Autori
Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
Izvornik
Mathematical inequalities & applications (1331-4343) 11
(2008), 4;
701-716
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities; Beta function; Gamma function; Hilbert's inequality; Hardy-Hilbert's inequality; conjugate exponents; non-conjugate exponents; the best possible constant
Sažetak
By introducing some parameters and a norm |x|_\alpha, x\in {; ; ; ; R_+}; ; ; ; ^n, we give higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities in non-conjugate case. Further, we prove that their constant factors are the best possible, in the conjugate case, when the parameters satisfy appropriate conditions. We also compare our results with some known results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, 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
