The \(L^p\)-weighted Lagrange interpolation on Markov-Sonin zeros
type: Item
instance of: scholarly article
title: The \(L^p\)-weighted Lagrange interpolation on Markov-Sonin zeros
zbMATH Open document ID: 1108.41004
author: Maria Grazia Russo
author: Donatella Occorsio
published in: Acta Mathematica Hungarica
publication date: 2007-01-08T00:00:00Z
review text: The theme of this paper is the approximation in univariate weighted \(L^p\)-spaces. Here, the index \(p\) is restricted to \((1,\infty)\). The approximation takes place with polynomials by Lagrange interpolation. For the Lagrange interpolation process, certain knots, so-called Markov-Sonin knots, are chosen. The knots are the zeros of Markov-Sonin polynomials. With this choice, error estimates à la Jackson are established in the article. The weight-functions used in the error estimates are always exponentials times some powers.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 5082277
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: approximation theory
MaRDI profile type: Publication
full work available at URL: s10474-006-0064-2
OpenAlex ID: W2088219308
DOI: 10.1007/S10474-006-0064-2
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description: scientific article; zbMATH DE number 5082277