Pregled bibliografske jedinice broj: 540903
Frequency variant of Euler type identities and the problem of sign constancy of the kernel in associated quadrature formulas
Frequency variant of Euler type identities and the problem of sign constancy of the kernel in associated quadrature formulas // Journal of Mathematical Inequalities, 5 (2011), 4; 565-579 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 540903 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Frequency variant of Euler type identities and the problem of sign constancy of the kernel in associated quadrature formulas
Autori
Perić, Ivan
Izvornik
Journal of Mathematical Inequalities (1846-579X) 5
(2011), 4;
565-579
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Euler identities; Chebyshev systems; General Mean Value theorem; Fourier expansion of Bernoulli functions
Sažetak
In the recent years many authors used extended Euler identities to obtain generalizations of some classical quadrature formulas with the best possible error estimates. The main step in obtaining the best possible error estimates was to control zeros of the kernel in the error term which consists of the affine combinations of the transates of periodic Bernoulli polynomials. The main goal of this paper is to consider a general case. The frequency variant of extended Euler identities is found more tractable for this problem.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb
Profili:
Ivan Perić
(autor)
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
