Periodic even degree spline interpolation on a uniform partition (Q1090874)
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scientific article; zbMATH DE number 4009000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic even degree spline interpolation on a uniform partition |
scientific article; zbMATH DE number 4009000 |
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Periodic even degree spline interpolation on a uniform partition (English)
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1985
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Periodic even degree spline interpolations at equidistant knots are considered. Existence and uniqueness results are proved and error bounds: \[ \| f^{(k)}-s^{(k)}\| \leq \sigma_{\hat u,k}h^{2r+1- k}\{\| f^{(2r+1)}\|_{\infty}\}+Var(f^{2r+1)} \] for \(k=0,2,...,2r\) are obtained (h denotes the distance between knots).
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Periodic even degree spline interpolations
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equidistant knots
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error bounds
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