Optimal error bounds for convergents of a family of continued fractions (Q1916749)
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scientific article; zbMATH DE number 902471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal error bounds for convergents of a family of continued fractions |
scientific article; zbMATH DE number 902471 |
Statements
Optimal error bounds for convergents of a family of continued fractions (English)
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14 July 1996
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The authors give truncation error bounds for continued fractions \(K(a_p/1)\) where \(a_p\in \mathbb{C}\) satisfies \(a_1= -g_1\), \(a_p= (1- g_{p-1}) g_p x_p\) for \(0\leq g_p\leq 1\) and \(|x_p |\leq 1\), in other words, for continued fractions satisfying Wall's generalization of the Worpitzky theorem.
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truncation error bounds
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continued fractions
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Worpitzky theorem
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