Continued fractions, two-point Padé approximants and errors in the Stieltjes case (Q1612390)
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scientific article; zbMATH DE number 1787677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continued fractions, two-point Padé approximants and errors in the Stieltjes case |
scientific article; zbMATH DE number 1787677 |
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Continued fractions, two-point Padé approximants and errors in the Stieltjes case (English)
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22 August 2002
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A Stieltjes function is expanded in mixed \(T\)- and \(S\)-continued fraction. The relations between approximants of this continued fraction and two-point Padé approximants are established. The method used by Gilewicz and Magnus has been adapted to obtain the exact relations between the errors of the contiguous two-point Padé approximants in the whole cut complex plane.
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two-point Padé approximation
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Stieltjes function
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continued fraction
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0.9101611
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0.9041851
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0.9013213
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0.89687985
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0.89685756
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