Pregled bibliografske jedinice broj: 399413
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters // Mathematical Conference, 85 Years of Professor Blagoj Popov Life, Ohrid, Macedonia
Ohrid, Sjeverna Makedonija, 2008. (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters
Autori
Krnić, Mario ; Pečarić Josip ; Vuković Predrag
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Conference, 85 Years of Professor Blagoj Popov Life, Ohrid, Macedonia
/ - , 2008
Skup
Mathematical Conference, 85 Years of Professor Blagoj Popov Life
Mjesto i datum
Ohrid, Sjeverna Makedonija, 04.09.2008. - 07.09.2008
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Hilbert type inequality; Hardy-Hilbert type inequality; non-conjugate parameters; norm; the best possible constants
Sažetak
By introducing some parameters and a norm, we give higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities in non-conjugate case. Further, we prove that their constant factors are the best possible, in the conjugate case, when the parameters satisfy appropriate conditions. We also compare our results with some known results.
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:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb