Lagrange interpolation of functions of generalized bounded variation
type: Item
instance of: scholarly article
title: Lagrange interpolation of functions of generalized bounded variation
zbMATH Open document ID: 0683.41001
DOI: 10.1007/BF02170055
published in: Acta Mathematica Hungarica
publication date: 1989-01-01T00:00:00Z
review text: This paper estimates the rate of convergence for functions of generalized bounded variation by the Lagrange interpolation polynomials based on the zeros of the Jacobi polynomials. Meanwhile, the paper discusses what kind of condition implies that \(L_ n(f,x)-f(x)=O(1/n)\) ?
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 4118868
zbMATH Keywords: rate of convergence
zbMATH Keywords: Lagrange interpolation polynomials
zbMATH Keywords: Jacobi polynomials
author: Xiehua Sun
MaRDI profile type: Publication
cites work: Q3254457
cites work: Lagrange interpolation for continuous functions of bounded variation
cites work: On convergence of Fourier series of functions of generalized bounded variation
cites work: Q3039866
cites work: On some convergence properties of the interpolation polynomials
cites work: A note of mean convergence of Lagrange interpolation
cites work: Analytic Inequalities
full work available at URL: https://doi.org/10.1007/bf02170055
OpenAlex ID: W2084540901
description: scientific article; zbMATH DE number 4118868