Pregled bibliografske jedinice broj: 338508
Inequalities of the Hilbert type in R^n with non-conjugate exponents
Inequalities of the Hilbert type in R^n with non-conjugate exponents // Proceedings of the Edinburgh Mathematical Society, 51 (2008), 1; 11-26 doi:10.1017/S0013091505001690 (međunarodna recenzija, članak, znanstveni)
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Naslov
Inequalities of the Hilbert type in R^n with non-conjugate exponents
Autori
Čižmešija, Aleksandra ; Perić, Ivan ; Vuković, Predrag
Izvornik
Proceedings of the Edinburgh Mathematical Society (0013-0915) 51
(2008), 1;
11-26
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities; Hilbert's inequality; doubly weighted Hardy-Littlewood-Sobolev inequality; Selberg's integral formula; Gamma function; Beta function
Sažetak
In this paper we state and prove a new general Hilbert-type inequality in R^n with k>=2 non-conjugate exponents. Using Selberg's integral formula, this resuly is then applied to obtain explicit upper bounds for the doubly weighted Hardy-Littlewood-Sobolev inequality and some further Hilbert-type inequaliyies for k non-negative functions and non-conjugate exponents.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Akademija likovnih umjetnosti, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
