Title | DEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Avdzhieva A, Gushev V, Nikolov G |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 104 |
Pagination | 155-170 |
ISSN | 0205-0808 |
Keywords | a 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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104-155-170.pdf | 312.21 KB |