Better error estimates in polynomial interpolation (Q1190331)
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scientific article; zbMATH DE number 57304
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Better error estimates in polynomial interpolation |
scientific article; zbMATH DE number 57304 |
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Better error estimates in polynomial interpolation (English)
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27 September 1992
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The author obtains \(L_ p\) error estimates for the Hermite polynomial interpolation of a function \(f\) on the interval \([a,b]\) in terms of its \((n+1)\)st order derivative in \(L_ \nu\) norm. The established results are better (sometimes even best possible) compared to what is known in the literature. The author also points out that the inequalities obtained in the paper can be applied to the study of boundary value problems for ordinary differential equations.
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error estimates
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Hermite polynomial interpolation
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