\(A(\alpha)\)-acceptability of rational approximations to function \(\exp(z)\) (Q2778244)
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scientific article; zbMATH DE number 1719557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(A(\alpha)\)-acceptability of rational approximations to function \(\exp(z)\) |
scientific article; zbMATH DE number 1719557 |
Statements
13 March 2002
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exponential
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rational approximation
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\(A(\alpha)\)-acceptability
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\(A\)-acceptability
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\(A(\alpha)\)-acceptability of rational approximations to function \(\exp(z)\) (English)
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Two necessary and sufficient conditions, and a sufficient condition of \(A(\alpha)\)-acceptability for \((n,m)\) rational approximation to the function \(\exp(t)\) are given for \(\alpha\in (0,{\pi\over 2})\). Moreover, a necessary and sufficient condition of \(A\)-acceptability for \((n,m)\) rational approximation to \(\exp(z)\) of order \(p\) is obtained, where \(n\leq m\leq p\).
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