On approximation of functions and their derivatives by quasi-Hermite interpolation (Q1912321)
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scientific article; zbMATH DE number 874309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On approximation of functions and their derivatives by quasi-Hermite interpolation |
scientific article; zbMATH DE number 874309 |
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On approximation of functions and their derivatives by quasi-Hermite interpolation (English)
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18 July 1996
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Summary: We consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi-Hermite interpolation based on the zeros of \((1- x^2) p_n (x)\) (where \(p_n (x)\) is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal.
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optimal nodes
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Legendre polynomials
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best approximation
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Hermite interpolation
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derivatives
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