Pregled bibliografske jedinice broj: 623422
The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators
The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators // Bulletin of the Malaysian Mathematical Sciences Society, 38 (2015), 3; 1001-1022 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 623422 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators
Autori
Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 38
(2015), 3;
1001-1022
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert-type inequality; homogeneous kernel; the best possible constant; the weighted geometric mean operator; the weighted harmonic mean operator
Sažetak
In this paper we establish several multidimensional Hilbert-type inequalities with a homogeneous kernel, involving the weighted geometric and harmonic mean operators in the integral case. The general results are derived for the case of non-conjugate parameters. A special emphasis is dedicated to determining conditions under which the obtained inequalities include the best possible constants on their right-hand sides, which can be established after reduction to the conjugate case. As an application, we consider some particular examples and compare our results with the 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
