Limit theorems of the theory of discrete periodic splines (Q548733)
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scientific article; zbMATH DE number 5915276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit theorems of the theory of discrete periodic splines |
scientific article; zbMATH DE number 5915276 |
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Limit theorems of the theory of discrete periodic splines (English)
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30 June 2011
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Limit theorems for splines with increasing degrees and number of knots are of interest both in theory and in practice. An important case is when these splines are interpolating prescribed data. This article considers discrete periodic splines and their limits. The limits are taken with respect to both degree and number of knots. In case these tend to infinity, the double limits are shown to exist and to be trigonometric polynomials which interpolate the data.
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limits of splines
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trigonometric polynomials
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