Article
On Quadrature Rules Associated with Appell Polynomials
International Journal of Applied Mathematics
Document Type
Article
Publication Date
1-1-2002
Keywords
- Appell polynomials,
- Euler-MacLaurin quadrature rule,
- Quadrature formulas
Disciplines
Abstract
A quadrature rule using Appell polynomials and generalizing both the Euler-MacLaurin quadrature formula and a similar quadrature rule, obtained in Bretti et al [15], which makes use of Euler (instead of Bernoulli) numbers and even (instead of odd) derivatives of the given function at the extrema of the considered interval, is derived. An expression of the remainder term and a numerical example are also enclosed.
Citation Information
Gabriella Bretti, Matthew He and Paolo E. Ricci. "On Quadrature Rules Associated with Appell Polynomials" International Journal of Applied Mathematics Vol. 11 Iss. 1 (2002) p. 1 - 14 ISSN: 1311-1728 Available at: http://works.bepress.com/matthew-he/36/
AMS Subject Classification: 33C99, 33F05, 65D32