On Quadrature Rules Associated with Appell Polynomials

Gabriella Bretti; Matthew He; Paolo E. Ricci

On Quadrature Rules Associated with Appell Polynomials

Gabriella Bretti
, Matthew He
, Paolo E. Ricci

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	International Journal of Applied Mathematics
Volume	11
Issue number	1
State	Published - Jan 1 2002

Keywords

Appell polynomials
Euler-MacLaurin quadrature rule
Quadrature formulas

Disciplines

Mathematics

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On Quadrature Rules Associated with Appell PolynomialsFinal published version, 221 KBLicense: Unspecified

Cite this

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title = "On Quadrature Rules Associated with Appell Polynomials",

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.",

keywords = "Appell polynomials, Euler-MacLaurin quadrature rule, Quadrature formulas",

author = "Gabriella Bretti and Matthew He and Ricci, \{Paolo E.\}",

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AU - Bretti, Gabriella

AU - He, Matthew

AU - Ricci, Paolo E.

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N2 - 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.

AB - 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.

KW - Appell polynomials

KW - Euler-MacLaurin quadrature rule

KW - Quadrature formulas

UR - https://nsuworks.nova.edu/math_facarticles/170

M3 - Article

SN - 1311-1728

VL - 11

JO - International Journal of Applied Mathematics

JF - International Journal of Applied Mathematics

IS - 1

ER -

On Quadrature Rules Associated with Appell Polynomials

Abstract

Keywords

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