On an \(n\)-dimensional quadratic spline approximation (Q1185935)
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scientific article; zbMATH DE number 35989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an \(n\)-dimensional quadratic spline approximation |
scientific article; zbMATH DE number 35989 |
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On an \(n\)-dimensional quadratic spline approximation (English)
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28 June 1992
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This paper is devoted to the study of the multivariate quadratic spline functions on rectangular grids. The splines under discussion are continuous functions and piecewise quadratic in each variable. Error bounds and applications to shape-preserving approximation are also discussed. Techniques similar to those presented in the paper under review are developed in: \textit{Yu. S. Zav'yalov}, \textit{B. I. Kvasov} and \textit{V. L. Viroshnicenko}, ``Methods of spline functions'' (1980; Zbl 0524.65007).
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multivariate quadratic spline functions on rectangular girds
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Error bounds
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shape-preserving approximation
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