Convergent vector and Hermite subdivision schemes
type: Item
instance of: scholarly article
title: Convergent vector and Hermite subdivision schemes
zbMATH Open document ID: 1087.65017
author: Serge Dubuc
author: Jean-Louis Merrien
published in: Constructive Approximation
publication date: 2006-03-02T00:00:00Z
review text: Observing that the study of convergence of Hermite subdivision schemes is reduced to that of vector stationary subdivision schemes, the authors propose a criterion for \( C^0 \)-convergence for a large class of vector subdivision schemes. This criterion is applied to Hermite subdivision schemes. This enables the authors to generalize some results proved earlier [eg. \textit{N. Dyn} and \textit{D. Levin}, Spline Functions and the Theory of Wavelets, Providence RI: Am. Math. Soc. 18, 105--113 (1999; Zbl 0967.42024)]).
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 5009606
zbMATH Keywords: Subdivision
zbMATH Keywords: Convergence
zbMATH Keywords: Hermite interpolation
MaRDI profile type: Publication
full work available at URL: s00365-005-0602-0
OpenAlex ID: W2031025191
DOI: 10.1007/S00365-005-0602-0
description: scientific article; zbMATH DE number 5009606