Pregled bibliografske jedinice broj: 451596
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0 // Mathematical inequalities & applications, 13 (2010), 4; 817-839 (međunarodna recenzija, članak, znanstveni)
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Naslov
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0
Autori
Bicheng Yang ; Krnić, Mario
Izvornik
Mathematical inequalities & applications (1331-4343) 13
(2010), 4;
817-839
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert-type inequality; Hardy-Hilbert type inequality; Hilbert-type operator; homogeneous kernel; weight function; norm
Sažetak
In this paper we provide an unified approach to the Hilbert-type inequalities with homogeneous kernel of degree 0 and certain weight functions. As an application, we define the related Hilbert-type operators and analyze their norms. In the case of conjugate exponents, we obtain the best possible constants involved in the right-hand sides of derived inequalities, and norms of the Hilbert-type operators as well. Finally, we consider some special choices of homogeneous kernels and parameters.
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)
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
