Constrained shape preserving rational cubic fractal interpolation functions (Q1747333)
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scientific article; zbMATH DE number 6866701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constrained shape preserving rational cubic fractal interpolation functions |
scientific article; zbMATH DE number 6866701 |
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Constrained shape preserving rational cubic fractal interpolation functions (English)
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7 May 2018
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In this paper, the authors discuss the construction of \({\mathcal C}^1\)-rational cubic fractal interpolation function of a given data set, together with the error estimate of the approximation with the original function. When the data set is constrained between two piecewise straight lines, they derive sufficient conditions such that the interpolation function lies between those two lines. Numerical examples illustrate their theoretical results.
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iterated function systems
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fractal interpolation
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convergence analysis
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bounding Cauchy remainder
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Peano-kernel theorem
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constrained data interpolation
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positivity
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