Pregled bibliografske jedinice broj: 575270
On a multidimensional version of the Hilbert-type inequality
On a multidimensional version of the Hilbert-type inequality // Analysis Mathematica, 38 (2012), 4; 291-303 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 575270 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On a multidimensional version of the Hilbert-type inequality
Autori
Krnić, Mario ; Vuković, Predrag
Izvornik
Analysis Mathematica (0133-3852) 38
(2012), 4;
291-303
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert-type inequality; homogeneous kernel; the best possible constant; conjugate exponents
Sažetak
The main objective of this paper is a study of some new multidimensional Hilbert-type inequalities with a general homogeneous kernel. We derive a pair of equivalent inequalities, and also establish the conditions under which the constant factors included in obtained inequalities are the best possible. Some applications in particular settings are also considered.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Prehrambeno-biotehnološki 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