Some remarks on the exact controlled approximation order of bivariate splines on a diagonal mesh
type: Item
instance of: scholarly article
title: Some remarks on the exact controlled approximation order of bivariate splines on a diagonal mesh
zbMATH Open document ID: 0551.41021
DOI: 10.1016/0021-9045(84)90043-1
published in: Journal of Approximation Theory
publication date: 1984-01-01T00:00:00Z
review text: \textit{Rong-ging Jia} in ''Approximation by smooth bivariate splines on a three direction mesh'' [Approximation theory IV, Proc. int. Conf., Tex. A \& M Univ. 1983, 539-545] has given a lower bound for the approximation order of bivariate splines on a three direction mesh. In the present paper we give a simplified proof of Jia's results and also show that they are sharp.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 3877712
zbMATH Keywords: lower bound
zbMATH Keywords: approximation order of bivariate splines
zbMATH Keywords: three direction mesh
author: Richard B. Barrar
author: Henry L. Loeb
MaRDI profile type: Publication
full work available at URL: 0021-9045(84)90043-1
OpenAlex ID: W1987062857
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description: scientific article; zbMATH DE number 3877712