On Quadrature Rules Associated with Appell Polynomials

Authors

Gabriella Bretti, Universita di Roma "La Sapienza"
Matthew He, Nova Southeastern UniversityFollow
Paolo E. Ricci, Universita di Roma "La Sapienza"

Document Type

Article

Publication Date

1-1-2002

Publication Title

International Journal of Applied Mathematics

Keywords

Appell polynomials, Euler-MacLaurin quadrature rule, Quadrature formulas

ISSN

1311-1728

Volume

11

Issue/No.

1

First Page

1

Last Page

14

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.

Comments

AMS Subject Classification: 33C99, 33F05, 65D32

NSUWorks Citation

Bretti, Gabriella; He, Matthew; and Ricci, Paolo E., "On Quadrature Rules Associated with Appell Polynomials" (2002). Mathematics Faculty Articles. 170.
https://nsuworks.nova.edu/math_facarticles/170