Email this article On Some Sequences of the Sets of Uniform Convergence for Two-Dimensional Continued Fractions
- Authors: Antonova T.M.1, Sus’ O.M.2
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Affiliations:
- “L’vivs’ka Politekhnika” National University
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 222, No 1 (2017)
- Pages: 56-69
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239149
- DOI: https://doi.org/10.1007/s10958-017-3282-y
- ID: 239149
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Abstract
For two-dimensional continued fractions whose elements belong to some rectangular sets of a complex plane, we establish the truncation error bound of their figured approximants. It is shown that the two-dimensional continued fractions are uniformly convergent with respect to a sequence of these rectangular sets.
About the authors
T. M. Antonova
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
O. M. Sus’
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
