Mean convergence of Hermite interpolation
type: Item
instance of: scholarly article
title: Mean convergence of Hermite interpolation
zbMATH Open document ID: 0806.41004
author: Yuan Xu
author: Paul Nevai
published in: Journal of Approximation Theory
publication date: 1994-09-08T00:00:00Z
review text: The aim of this paper are weighted mean convergence properties of Hermite interpolation. This interpolation is based on zeros of certain generalized Jacobi polynomials. Necessary and sufficient conditions for such convergence for all continuously differentiable functions are given. Finally, convergence with given order, and convergence of the differentiated Hermite interpolation process are studied.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 636071
zbMATH Keywords: convergence conditions
zbMATH Keywords: convergence with given order
zbMATH Keywords: Hermite interpolation
MaRDI profile type: Publication
full work available at URL: jath.1994.1051
OpenAlex ID: W1995783642
DOI: 10.1006/JATH.1994.1051
description: scientific article; zbMATH DE number 636071