Mean convergence of extended Lagrange interpolation with Freud weights
type: Item
instance of: scholarly article
title: Mean convergence of extended Lagrange interpolation with Freud weights
zbMATH Open document ID: 0946.41001
DOI: 10.1023/A:1006646702249
author: Giuseppe Mastroianni
author: Doron S. Lubinsky
published in: Acta Mathematica Hungarica
publication date: 2000-02-21T00:00:00Z
review text: The mean convergence of Lagrange interpolation at the zeros of the orthonormal polynomials associated with the Freud weight has been extensively studied. Considering two additional points of interpolation \textit{J. Szabados} [J. Inequal. Appl. 1, No. 2, 99-123 (1997; Zbl 0916.41002)] has indeed shown that the Lebesgue constant does not grow faster than log \(n\). The authors show that a similar advantage is achieved in the mean convergence of Lagrange interpolation if the foregoing extended nodes are considered in place of just the zeros of the orthogonal polynomials.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 1404413
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: Freud weight
zbMATH Keywords: mean convergence
reviewed by: H. P. Dikshit
MaRDI profile type: Publication
full work available at URL: a:1006646702249
OpenAlex ID: W1745946786
description: scientific article; zbMATH DE number 1404413