DEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES

ЗаглавиеDEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES
Вид публикацияJournal Article
Година на публикуване2017
АвториAvdzhieva A, Gushev V, Nikolov G
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том104
Pagination155-170
ISSN0205-0808
ключови думиa posteriori error estimates, Definite quadrature formulae, Euler-MacLaurin summation formulae, Peano kernels
Резюме
A sequence of definite quadrature formulae of order three with equidistant nodes is constructed. The error constants of these quadratures are evaluated and simple a posteriori error estimates derived under the assumption that the integrand’s third derivative does not change its sign in the integration interval.
2000 MSC

41A55, 65D30, 65D32

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