On Some Sequences of the Sets of Uniform Convergence for Two-Dimensional Continued Fractions


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详细

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.

作者简介

T. Antonova

“L’vivs’ka Politekhnika” National University

Email: Jade.Santos@springer.com
乌克兰, Lviv

O. Sus’

Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences

Email: Jade.Santos@springer.com
乌克兰, Lviv


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