A shape preserving area true approximation of histogram by rational splines (Q1102068)
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scientific article; zbMATH DE number 4048902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A shape preserving area true approximation of histogram by rational splines |
scientific article; zbMATH DE number 4048902 |
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A shape preserving area true approximation of histogram by rational splines (English)
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1988
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The derivative s' of a rational spline s with \(s_ i=s\) in \([x_{i- 1},x_ i]\) and \(s_ i=A_ i+B_ it+C_ it\) \(2+D_ it\) \(3/(1+pt)\), \(t=(x-x_ i)/\Delta x_ i\), is used for area true approximation of a given histogram. Controlling the parameter p allows to preserve shape, e.g. monotonicity, of the histogram. Some small examples are given.
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shape preserving spline approximation
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rational spline
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area true approximation of a given histogram
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monotonicity
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examples
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0.89790046
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0.88573027
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0.8784326
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0.8731838
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0.86184853
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