Pregled bibliografske jedinice broj: 451633
General Hardy-type inequalities with non-onjugate exponents
General Hardy-type inequalities with non-onjugate exponents // Bulletin of the Iranian Mathematical Society, 37 (2011), 3; 77-108 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 451633 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
General Hardy-type inequalities with non-onjugate exponents
Autori
Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip
Izvornik
Bulletin of the Iranian Mathematical Society (1735-8515) 37
(2011), 3;
77-108
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hardy inequality; Hilbert inequality; Hardy-type kernel; Hardy-type inequality; Hilbert-type inequality; dual Hardy-type inequality; Hardy-type operator; non-conjugate exponents.
Sažetak
In this paper we derive whole series of new integral inequalities of the Hardy-type, with non-conjugate exponents. At the beginning, we prove and discuss two equivalent general inequalities of such type, as well as their corresponding reverse inequalities. General results are then applied to special Hardy-type kernel and power weights. Also, some estimates of weight functions and constant factors are obtained. In particular, we obtain generalizations and improvements of some recent results, 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)
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
