DEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES

TitleDEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES
Publication TypeJournal Article
Year of Publication2017
AuthorsAvdzhieva A, Gushev V, Nikolov G
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume104
Pagination155-170
ISSN0205-0808
Keywordsa posteriori error estimates, Definite quadrature formulae, Euler-MacLaurin summation formulae, Peano kernels
Abstract
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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