Pregled bibliografske jedinice broj: 205712
On corrected Euler-Simpson's 3/8 formulae
On corrected Euler-Simpson's 3/8 formulae // Nonlinear Studies, 13 (2006), 4; 309-319 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 205712 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On corrected Euler-Simpson's 3/8 formulae
Autori
Franjić, Iva ; Pečarić, Josip
Izvornik
Nonlinear Studies (1359-8678) 13
(2006), 4;
309-319
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
closed type quadrature formulae; corrected Simpson's 3/8 formulae; Bernoulli polynomials; functions of bounded variation; Lipschitzian functions
Sažetak
The aim of this paper is to derive corrected Euler-Simpson's 3/8 formulae, i.e. closed type quadrature formulae where the integral is approximated not only with the values of the function in points a, (2a+b)/3, (a+2b)/3 and b, but also with values of the first derivative at boundary points of the interval. These formulae will have a higher degree of exactness than the adjoint original 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:
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
