Email this article Sufficient Conditions for the Equivalent Convergence of Sequences of Different Approximants 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 228, No 1 (2018)
- Pages: 1-10
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240176
- DOI: https://doi.org/10.1007/s10958-017-3601-3
- ID: 240176
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Abstract
By the method of fundamental inequalities, we study the equivalent convergence of two figured approximants for two-dimensional continued fractions, namely, the approximants obtained from the problem of correspondence of two-dimensional continued fractions to some formal double power series and the problem of equivalence of two-dimensional continued fractions. We also establish sufficient conditions under which the indicated two approximants of two-dimensional continued fractions converge to the same limit.
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
