Pregled bibliografske jedinice broj: 171267
On some general Hilbert's Inequalities with non-conjugate parameters
On some general Hilbert's Inequalities with non-conjugate parameters // Rendiconti del Circolo Matematico di Palermo, II (2007), LVI; 219-234 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 171267 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some general Hilbert's Inequalities with non-conjugate parameters
Autori
Krnić, Mario ; Pečarić, Josip
Izvornik
Rendiconti del Circolo Matematico di Palermo (0009-725X) II
(2007), LVI;
219-234
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities; Hilbert's inequality; Euler-Maclaurin summation formula; homogeneous function; kernel; weight function; equivalent inequalities
Sažetak
A generalized discrete Hilbert's and Hardy-Hilbert's inequality with non-conjugate parameters can be obtained by means of Euler-Maclaurin summation formula. We derive some general results for homogeneous functions and compare our results with some previously known from the literature. We also obtain the improvements on some earlier 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:
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus