On the convergence criterion for branched continued fractions with independent variables

DOI10.15330/CMP.9.2.120-127zbMath1390.11019OpenAlexW2781502687MaRDI QIDQ4634954

R. I. Dmytryshyn

Publication date: 13 April 2018

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.9.2.120-127

zbMATH Keywords

convergencebranched continued fraction with independent variablesmultidimensional \(C\)-fraction with independent variables

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (7)

Approximation of functions of several variables by multidimensional $S$-fractions with independent variables ⋮ Some properties of approximants for branched continued fractions of the special form with positive and alternating-sign partial numerators ⋮ On the convergence of multidimensional S-fractions with independent variables ⋮ Timelike spherical curves according to equiform Bishop frame in 3-dimensional Minkowski space ⋮ On the convergence of multidimensional S-fractions with independent variables ⋮ A truncation error bound for some branched continued fractions of the special form ⋮ On some of convergence domains of multidimensional S-fractions with independent variables

Cites Work

• Estimates of the Rate of Pointwise and Uniform Convergence for One-Periodic Branched Continued Fractions of a Special Form
• A Worpitzky boundary theorem for branched continued fractions of the special form
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