Monotone and convex cubic spline interpolation (Q1058685)
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scientific article; zbMATH DE number 3901359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone and convex cubic spline interpolation |
scientific article; zbMATH DE number 3901359 |
Statements
Monotone and convex cubic spline interpolation (English)
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1984
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The authors consider the problem of the existence of monotone and convex cubic \(C^ 1\) splines interpolating a set of data at the knots, and give a necessary and sufficient condition. The proof is constructive and leads to an algorithm for the construction of shape-preserving splines interpolating arbitrary sets of data [ibid. 21, 295-305 (1984)]. Further, they investigate the approximation properties of these splines when applied to the interpolation of \(C^ 4\) functions.
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monotone interpolation
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convex interpolation
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shape-preserving splines
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