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Some remarks on the exact controlled approximation order of bivariate splines on a diagonal mesh - MaRDI portal

Some remarks on the exact controlled approximation order of bivariate splines on a diagonal mesh (Q801231)

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scientific article; zbMATH DE number 3877712
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Some remarks on the exact controlled approximation order of bivariate splines on a diagonal mesh
scientific article; zbMATH DE number 3877712

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    Some remarks on the exact controlled approximation order of bivariate splines on a diagonal mesh (English)
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    1984
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    \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.
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    lower bound
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    approximation order of bivariate splines
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    three direction mesh
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