Pregled bibliografske jedinice broj: 195588
Corrected Euler-Maclaurin's formulae
Corrected Euler-Maclaurin's formulae // Rendiconti del Circolo Matematico di Palermo, 54 (2005), 2; 259-272 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 195588 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Corrected Euler-Maclaurin's formulae
Autori
Franjić, Iva ; Pečarić, Josip
Izvornik
Rendiconti del Circolo Matematico di Palermo (0009-725X) 54
(2005), 2;
259-272
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
open type quadrature formulae; corrected Maclaurin's formula; Bernoulli polynomials; functions of bounded variation; Lipschitzian functions
Sažetak
The aim of this paper is to derive corrected Euler-Maclaurin's formulae, i.e. open type quadrature formulae where the integral is approximated not only with the values of the function in points (5a+b)/6, (a+b)/2 and (a+5b)/6, but also with values of the first derivative in end points of the interval. These formulae will have a higher degree of exactness than the standard Euler-Maclaurin's formulae. Using the derived formulae, a number of inequalities for various classes of functions are obtained.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
