Pregled bibliografske jedinice broj: 349137
A Hilbert inequality and an Euler-Maclaurin summation formula
A Hilbert inequality and an Euler-Maclaurin summation formula // Anziam Journal, 48 (2007), Part 3; 419-431 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 349137 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A Hilbert inequality and an Euler-Maclaurin summation formula
Autori
Krnić, Mario ; Pečarić, Josip
Izvornik
Anziam Journal (1446-1811) 48
(2007), Part 3;
419-431
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
inequalities; Hilbert's inequality; Bernoulli numbers; Bernoulli polynomials; Euler-Maclaurin summation formula; homogeneous function; kernel; weight function; equivalent inequalities
Sažetak
We obtain a generalized discrete Hilbert and Hardy-Hilbert inequality with non-conjugate parameters by means of an Euler-Maclaurin summation formula. We derive some general results for homogeneous functions and compare our findings with existing results. We improve some earlier results and apply the results to some special homogeneous functions.
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
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
