Pregled bibliografske jedinice broj: 624213
On some multidimensional Hilbert-type inequalities in a discrete case
On some multidimensional Hilbert-type inequalities in a discrete case // Ukrainian mathematical journal, 65 (2013), 6; 802-813 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 624213 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some multidimensional Hilbert-type inequalities in a discrete case
Autori
Krnić, Mario ; Vuković, Predrag
Izvornik
Ukrainian mathematical journal (0041-5995) 65
(2013), 6;
802-813
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert's inequality; homogeneous kernel; the best possible constant; conjugate exponents
Sažetak
Motivated by results of Huang, in this paper we derive a pair of discrete multidimensional Hilbert-type inequalities involving homogeneous kernel of negative degree. Also, we establish the conditions under which the constant factors involved in the established inequalities are the best possible. Finally, we consider some particular settings with homogeneous kernels and weighted functions. In such a way we obtain generalizations of some actual results, known from the literature.
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
