ERROR-BOUNDS FOR OPTIMAL DEFINITE QUADRATURE-FORMULAS

Citation
P. Kohler et G. Nikolov, ERROR-BOUNDS FOR OPTIMAL DEFINITE QUADRATURE-FORMULAS, Journal of approximation theory, 81(3), 1995, pp. 397-405
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics
ISSN journal
00219045
Volume
81
Issue
3
Year of publication
1995
Pages
397 - 405
Database
ISI
SICI code
0021-9045(1995)81:3<397:EFODQ>2.0.ZU;2-#
Abstract
Definite quadrature formulae are used to obtain inclusions for the int egral of a function f for which f((r)) has no sign change. In this pap er, error bounds for optimal definite quadrature formulae for the clas ses C-r[0, 1] (r greater than or equal to 1) are considered. In the ca se of odd r (except for special cases), such estimates seem to be unkn own. (C) 1995 Academic Press, Inc.