Effective approximation of elementary functions by rational polynomials of order (n,1) (Q1066384)
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scientific article; zbMATH DE number 3925465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Effective approximation of elementary functions by rational polynomials of order (n,1) |
scientific article; zbMATH DE number 3925465 |
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Effective approximation of elementary functions by rational polynomials of order (n,1) (English)
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1985
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The author uses a method proposed by \textit{V. K. Dzyadyk} [ibid. 37, No.2, 250-252 (1985)] in order to construct approximations for \(\log (1+x)\), \(e^ x\) and \((1+x)^{\alpha}\) in the class \(R_{n,1}\) of rational functions of order (n,1). The comparison with the norm of the best approximations of the respective functions in the class \(R_{n,1}\) is given.
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RA method
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rational approximation of solutions of linear
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differential equations with polynomial coefficients
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logarithm
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exponential function
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