\(C^2\)-rational cubic spline involving tension parameters (Q1584504)
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scientific article; zbMATH DE number 1525093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^2\)-rational cubic spline involving tension parameters |
scientific article; zbMATH DE number 1525093 |
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\(C^2\)-rational cubic spline involving tension parameters (English)
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8 January 2002
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Shape preserving interpolation with rational (cubic/linear) splines is considered. The splines are parametrised with two (tension) parameters and are Hermite interpolants matching function values and derivatives in the knots. The main results are theorems about the following topics. An upper bound for the approximation error. Existence of an interpolant preserving monotonicity or convexity. The existence of a unique \(C^2\)-interpolant.
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rational splines
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spline interpolation
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error estimates
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shape preserving approximation
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0.8926617
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0.89204955
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