Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
type: Item
instance of: scholarly article
title: Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
zbMATH Open document ID: 0990.41003
DOI: 10.1016/S0377-0427(00)00557-4
author: Giuseppe Mastroianni
author: Donatella Occorsio
published in: Journal of Computational and Applied Mathematics
publication date: 2002-08-06T00:00:00Z
review text: In this short survey, the authors present some recent procedures for constructing optimal interpolation processes, i.e., the processes with Lebesgue constants having logarithmic behavior, in the uniform metric on \([-1,1]\). The paper contains several known results and the following new result: the authors prove that, if we add a suitable number of knots near the endpoints of \([-1,1]\) to the zeros of the associated Jacobi polynomials, we obtain an interpolation process with optimal Lebesgue constant.
reviewed by: Elena E. Berdysheva
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1659489
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: Lebesgue constant
zbMATH Keywords: associated Jacobi polynomials
zbMATH Keywords: additional nodes method
MaRDI profile type: Publication
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full work available at URL: s0377-0427(00)00557-4
OpenAlex ID: W1999103577
description: scientific article; zbMATH DE number 1659489