Title | Definite quadrature formulae of 5-th order with equidistant nodes |
Publication Type | Journal Article |
Year of Publication | 2019 |
Authors | Avdzhieva A, Nikolov G |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 106 |
Start Page | 101 |
Pagination | 101-115 |
ISSN | 1313-9215 (Print) 2603-5529 (Online) |
Keywords | a posteriori error estimates, Definite quadrature formulae, Euler-MacLaurin summation formulae, Peano kernels |
Abstract | We construct sequences of definite quadrature formulae of order five which use equidistant nodes. The error constants of these quadratures are evaluated and simple a posteriori error estimates derived under the assumption that the integrand's fifth derivative does not change its sign in the integration interval. |
DOI | 10.60063/GSU.FMI.106.101-115 |
2010 MSC | 41A55, 65D30, 65D32 |
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