A note on rational approximations to \(e^x\), constructed by Németh and Newman (Q666633)
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scientific article; zbMATH DE number 7033192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on rational approximations to \(e^x\), constructed by Németh and Newman |
scientific article; zbMATH DE number 7033192 |
Statements
A note on rational approximations to \(e^x\), constructed by Németh and Newman (English)
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6 March 2019
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As the author puts it: it is proven that two well-known asymptotically best relative rational approximations of type $ (n,n) $ to $ e^x $ over $ [-1,1], $ constructed by \textit{G. Nemeth} [Mat. Zametki 21, 581--586 (1977; Zbl 0353.41004)] and \textit{D. J. Newman} [J. Approx. Theory 40, 111--114 (1984; Zbl 0542.41015)], are indeed identical.
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exponential function
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rational approximation
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Newman's method
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Laguerre polynomials
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