Signs of convergence of periodic branched chain shapes of a special form
The circle (multidimensional generalization of Worpitsky's Theorem) and the oval regions of the convergence were investigated for $\overrightarrow{p}$-periodic branched continued fractions of the special form. For 1-periodic these fractions the convergence was proved, the truncation error b...
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| Date: | 2015 |
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| Keywords: | keywords |
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2015
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/282 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | The circle (multidimensional generalization of Worpitsky's Theorem) and the oval regions of the convergence were investigated for $\overrightarrow{p}$-periodic branched continued fractions of the special form. For 1-periodic these fractions the convergence was proved, the truncation error bounds was researched in the angle regions; the necessary condition was established. |
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