Pregled bibliografske jedinice broj: 171212
Some improvements on general Hilbert inequality
Some improvements on general Hilbert inequality // Nonlinear Functional Analysis and Applications, 12 (2007), 1; 21-40 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 171212 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some improvements on general Hilbert inequality
Autori
Krnić, Mario ; Pečarić Josip
Izvornik
Nonlinear Functional Analysis and Applications (1229-1595) 12
(2007), 1;
21-40
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities; Gramm matrix; Hilbert's inequality; Hardy's inequality; Holder's inequality; homogeneous function; kernel; reverse inequality
Sažetak
In this paper, it is shown that some new improvements on general Hilbert and Hardy inequalities can be established by means of sharpening of Holder's inequality and the positive definiteness of Gramm matrix. In particular, we give some strengthened results of classical Hilbert and Hardy inequalities.
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:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb