Treffer: On Quadrature Rules Associated with Appell Polynomials: On quadrature rules associated with Appell polynomials.
Title:
On Quadrature Rules Associated with Appell Polynomials: On quadrature rules associated with Appell polynomials.
Authors:
Publisher Information:
Academic Publications, Sofia, 2002.
Publication Year:
2002
Subject Terms:
numerical example, Appell, Horn and Lauricella functions, quadrature rule', Euler-Maclaurin formula in numerical analysis, Euler-MacLaurin quadrature rule, Numerical approximation and evaluation of special functions, Euler-Maclaurin quadrature formula, Appell polynomials, Numerical quadrature and cubature formulas, Mathematics, Quadrature formulas, Approximate quadratures
Document Type:
Fachzeitschrift
Article
File Description:
application/xml; application/pdf
Access URL:
Accession Number:
edsair.dedup.wf.002..144c376e287ed86688ed78b4bf1b040c
Database:
OpenAIRE
Weitere Informationen
A quadrature rule using Appell polynomials and generalizing both the Euler-Maclaurin quadrature formula and a similar quadrature rule, obtained by \textit{G. Bretti} and \textit{P. E. Ricci} [Georgian Math. J. 8, No. 3, 447--453 (2001; Zbl 0992.33004)], 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.