An elementary remark on the accuracy of approximations by regular continued fractions (Q1000876)
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scientific article; zbMATH DE number 5506516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary remark on the accuracy of approximations by regular continued fractions |
scientific article; zbMATH DE number 5506516 |
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An elementary remark on the accuracy of approximations by regular continued fractions (English)
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11 February 2009
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It is well known that truncating the continued fraction expansions of irrational numbers gives ``best approximations'' to that number in a well defined sense. In this article, the author discusses the statement that the number of correct decimal places in the partial quotients of the continued fraction expansion of a number \(x\) is roughly equal to the sum of the number of digits of the numerator and the denominator of this approximation.
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continued fraction
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approximation
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