Pregled bibliografske jedinice broj: 565126
On some refinements and converses of multidimensional Hilbert-type inequalities
On some refinements and converses of multidimensional Hilbert-type inequalities // BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 85 (2012), 3; 380-394 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 565126 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some refinements and converses of
multidimensional Hilbert-type inequalities
Autori
Krnić, Mario
Izvornik
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY (0004-9727) 85
(2012), 3;
380-394
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert-type inequality ; non-conjugate exponents
Sažetak
The main objective of this paper is a study of some new refinements and converses of multidimensional Hilbert-type inequalities with non-conjugate exponents. Such extensions are deduced with the help of some remarkable improvements of the well-known H\"{; ; ; o}; ; ; lder's inequality. First, we obtain refinements and converses of the general multidimensional Hilbert-type inequality in both quotient and difference form. The obtained results are then applied to homogeneous kernels with the negative degree of homogeneity. Finally, we consider some particular settings with homogeneous kernels and weighted functions, and compare our results with the previously known from the literature.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Mario Krnić
(autor)
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
