Euler-Maclaurin and Gregory interpolants
type: Item
instance of: scholarly article
title: Euler-Maclaurin and Gregory interpolants
zbMATH Open document ID: 1334.41002
author: Mohsin Javed
author: Lloyd N. Trefethen
published in: Numerische Mathematik
publication date: 2016-02-01T00:00:00Z
review text: Special types of polynomial interpolants to suitably differentiable approximands are discussed in this paper. Among other things, so-called Gregory interpolants -- whose associated approximation operator is exchangable with integration and that make use of divided differences -- are defined and used in the article. Moreover, Euler-Maclaurin interpolants are given for \(n+1\) equally spaced points that provide approximation operators exchangable with integration too. Here, \(n\) is the degree of the trigonometric polynomial part in the Euler-Maclaurin interpolant. Numerical examples are provided for both types of interpolants.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 42A15
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 6537877
zbMATH Keywords: Gregory interpolants
zbMATH Keywords: Euler-Maclaurin interpolants
MaRDI profile type: Publication
full work available at URL: s00211-015-0713-x
OpenAlex ID: W2007410264
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DOI: 10.1007/S00211-015-0713-X
description: scientific article; zbMATH DE number 6537877