Truncation error bounds for branched continued fraction whose partial denominators are equal to unity

DOI10.30970/ms.54.1.3-14zbMath1461.11107OpenAlexW3092264301MaRDI QIDQ2216414

T. M. Antonova, P. V. Filevych

Publication date: 16 December 2020

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.54.1.3-14

zbMATH Keywords

convergencetruncation errorbranched continued fraction

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Special families of functions of several complex variables (32A17) Rate of convergence, degree of approximation (41A25)

Related Items (2)

Convergence of multidimensional \(A\)- and \(J\)-fractions with independent variables ⋮ Convergence and estimation of the truncation error for the corresponding two-dimensional continued fractions

Cites Work

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• Associated branched continued fractions with two independent variables
• The two-dimensional \(g\)-fraction with independent variables for double power series
• A truncation error bound for some branched continued fractions of the special form
• Multidimensional associated fractions with independent variables and multiple power series
• Convergence of some branched continued fractions with independent variables
• On Some Sequences of the Sets of Uniform Convergence for Two-Dimensional Continued Fractions
• Two-Dimensional Generalization of the Rutishauser qd -Algorithm
• Some convergence regions of branched continued fractions of special form
• Оцінки швидкості збіжності 1-періодичного гіллястого ланцюгового дробу спеціального вигляду
• Some properties of approximants for branched continued fractions of the special form with positive and alternating-sign partial numerators
• Representation of a quotient of solutions of a four-term linear recurrence relation in the form of a branched continued fraction
• On some of convergence domains of multidimensional S-fractions with independent variables

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