Pregled bibliografske jedinice broj: 637342
Hilbert-type inequalities involving differential operators, the best constants, and applications
Hilbert-type inequalities involving differential operators, the best constants, and applications // Mathematical inequalities & applications, 18 (2015), 1; 111-124 (međunarodna recenzija, članak, znanstveni)
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Naslov
Hilbert-type inequalities involving differential operators, the best constants, and applications
Autori
Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Izvornik
Mathematical inequalities & applications (1331-4343) 18
(2015), 1;
111-124
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert-type inequality; Hardy inequality; differential operator; homogeneous function; Gamma function
Sažetak
Motivated by some recent results, in this article we derive several Hilbert-type inequalities with a differential operator, regarding a general homogeneous kernel. Moreover, we show that the constants appearing on the right-hand sides of these inequalities are the best possible. The general results are then applied to some particular examples of homogeneous kernels and compared with previously 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)
Ustanove:
Fakultet elektrotehnike i računarstva, 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
