On dimension elevation in quasi extended Chebyshev spaces
type: Item
instance of: scholarly article
title: On dimension elevation in quasi extended Chebyshev spaces
zbMATH Open document ID: 1144.65013
author: Marie-Laurence Mazure
published in: Numerische Mathematik
publication date: 2008-06-17T00:00:00Z
review text: The present paper is motivated by one of the results on a dimension elevation process involving numbers \(p, q\) and a chosen integer \(n\) with \(p=q \geq 3\) and \(2 \leq n \leq p-1 \), proved by \textit{P. Costantini, T. Lyche} and \textit{C. Manni} [Numer. Math. 101, No. 2, 333--354 (2005; Zbl 1085.41002)]. Via blossoms, the author shows that the foregoing result can be extended to the case when \(p, q \) are greater than \(2\) and \(2 \leq n\leq \operatorname{Min}(p,q)\). A similar study of quasi-extended Chebyshev spaces is also made.
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 5288747
zbMATH Keywords: dimension elevation
zbMATH Keywords: quasi-extended Chebyshev spaces
zbMATH Keywords: Chebyshev-Bézier points
zbMATH Keywords: blossom
MaRDI profile type: Publication
full work available at URL: s00211-007-0133-7
OpenAlex ID: W2068169432
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DOI: 10.1007/S00211-007-0133-7
description: scientific article; zbMATH DE number 5288747