On the \(C^ 1\)-norm of the Hermite interpolation operator (Q580603)
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scientific article; zbMATH DE number 4017530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(C^ 1\)-norm of the Hermite interpolation operator |
scientific article; zbMATH DE number 4017530 |
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On the \(C^ 1\)-norm of the Hermite interpolation operator (English)
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1987
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The author proves: If \(\| H_ n\|_ 1\) is the \(C^ 1\) norm of the Hermite interpolation operator \(H_ n\) based on the zeros of the Chebyshev polynomials of the first kind, then \[ 4(n+1)- 5+\frac{2}{n+1}\leq \| H_ n\|_ 1\leq 4(n+1)+\frac{14}{\pi}\ell n(n+1)+13. \]
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Hermite interpolation operator
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Chebyshev polynomials
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