A constructive proof of convergence of the even approximants of positive PC-fractions (Q584450)
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scientific article; zbMATH DE number 4134410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A constructive proof of convergence of the even approximants of positive PC-fractions |
scientific article; zbMATH DE number 4134410 |
Statements
A constructive proof of convergence of the even approximants of positive PC-fractions (English)
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1989
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Positive PC (Perron-Carathéodory) fractions were introduced in connection with the trigonometric moment problem. In this paper it is proved that the even convergents converge by using the nesting subsets arguments common in continued fraction theory rather than appealing to normal families. The a posteriori bounds thus obtained are best.
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