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

DOI10.1007/s10958-017-3282-yzbMath1349.40006OpenAlexW2587869312MaRDI QIDQ2812863

O. M. Sus', T. M. Antonova

Publication date: 13 June 2016

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3282-y

zbMATH Keywords

uniform convergencetwo-dimensional continued fraction

Mathematics Subject Classification ID

Convergence and divergence of continued fractions (40A15)

Related Items

Some properties of approximants for branched continued fractions of the special form with positive and alternating-sign partial numerators, Truncation error bounds for the branched continued fraction \(\sum_{i_{1=1}}^N\frac{a_{i(1)}}{1}+\sum_{i_{2=1}}^{i_1}\frac{a_{i(2)}}{1}+\sum_{i_{3=1}}^{i_2}\frac{a_{i(3)}}{1}+\cdots \), Truncation error bounds for branched continued fraction whose partial denominators are equal to unity, Convergence and estimation of the truncation error for the corresponding two-dimensional continued fractions

Cites Work

• Continued fractions. Vol. 1: Convergence theory
• Continued fractions with circular twin value sets
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