Quadratic convergence of approximations by CCC-Schoenberg operators
type: Item
instance of: scholarly article
title: Quadratic convergence of approximations by CCC-Schoenberg operators
zbMATH Open document ID: 1371.41010
author: Tina Bosner
author: Mladen Rogina
published in: Numerische Mathematik
publication date: 2017-04-13T00:00:00Z
review text: The authors generalize to the Canonical Complete Chebyshev splines some properties already known for Extended Chebyshev splines, like Marsden identity and Grevillle points. Also, they present an interesting algorithm which leads to numerically stable expressions for the Greville points for CCC-splines. They show that any CCC-spline space provides us with an infinite number of operators of the Schoenberg-type, and they give a simple characterization of them. After proving few important properties, they establish a sufficient condition for quadratic convergence of approximations by CCC-Schoenberg operators to a given function.
reviewed by: Francisco Pérez Acosta
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 6705762
MaRDI profile type: Publication
full work available at URL: s00211-016-0831-0
OpenAlex ID: W2489929821
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DOI: 10.1007/S00211-016-0831-0
description: scientific article; zbMATH DE number 6705762