Approximation of differential functions and their derivatives by parabolic splines (Q762697)
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scientific article; zbMATH DE number 3890071
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of differential functions and their derivatives by parabolic splines |
scientific article; zbMATH DE number 3890071 |
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Approximation of differential functions and their derivatives by parabolic splines (English)
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1983
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The paper deals with the interpolation parabolic splines. The aim is to approximate not only the function but also its derivative in the metric of space C and \(L_ p\), \(1\leq p\leq \infty\). The problem of finding the exact estimation of the error on classes of functions is solved by studying the case in a particular interval of the partition.
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parabolic splines
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exact estimation of the error
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