Polynomial approximation errors for functions of low-order continuity (Q809284)
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scientific article; zbMATH DE number 4212683
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial approximation errors for functions of low-order continuity |
scientific article; zbMATH DE number 4212683 |
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Polynomial approximation errors for functions of low-order continuity (English)
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1991
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A given function f defined on \(<-1,+1>\) is expressed using \((n+1)\)-th divided differences. Minimax error \(E_ 0(f)\) and error \(S_ 0(f)\) are obtained by truncating the Chebyshev series of f after \(n+1\) terms. This method requires continuous second derivative on \(<-1,+1>\).
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divided differences
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Minimax error
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Chebyshev series
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