Pregled bibliografske jedinice broj: 672101
Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications // Applied mathematics and computation, 231 (2014), 148-159 doi:10.1016/j.amc.2014.01.011 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 672101 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
Autori
Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Izvornik
Applied mathematics and computation (0096-3003) 231
(2014);
148-159
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
half-discrete Hilbert-type inequality; Hardy inequality; Carleman inequality; Knopp inequality; the best constant; arithmetic mean; geometric mean; harmonic mean
Sažetak
In this article we derive several new half-discrete Hilbert-type inequalities with a general homogeneous kernel, involving arithmetic, geometric and harmonic mean operators. The main results are proved for the case of non-conjugate exponents. A special emphasis is given to determining conditions under which these inequalities include the best possible constants. As an application, we consider some operator expressions closely connected to established inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
