Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\)
type: Item
instance of: scholarly article
title: Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\)
zbMATH Open document ID: 0562.41003
DOI: 10.1016/0021-9045(85)90126-1
published in: Journal of Approximation Theory
publication date: 1985-01-01T00:00:00Z
review text: The purpose of this note is to prove a general result on weighted \(L^ p\) divergence of Lagrange interpolation. Existence of weight functions for which interpolation polynomials diverge in every \(L^ p\) space with \(p>2\) for some continuous function is shown.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 3895577
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: weight functions
zbMATH Keywords: interpolation polynomials
author: Paul Nevai
MaRDI profile type: Publication
full work available at URL: 0021-9045(85)90126-1
OpenAlex ID: W1996508809
cites work: Q3244654
cites work: Orthogonal polynomials
cites work: On some open problems of approximation theory
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description: scientific article; zbMATH DE number 3895577