Convergence and estimation of the truncation error for the corresponding two-dimensional continued fractions
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Publication:2098828
DOI10.1007/s11253-022-02079-1OpenAlexW4308384325MaRDI QIDQ2098828
S. M. Vozna, O. M. Sus', T. M. Antonova
Publication date: 22 November 2022
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-022-02079-1
Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)
Cites Work
- Associated branched continued fractions with two independent variables
- The two-dimensional \(g\)-fraction with independent variables for double power series
- Branched continued fractions for double power series
- A two-variable generalization of the Stieltjes-type continued fraction
- 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
- Multidimensional associated fractions with independent variables and multiple power series
- Truncation error bounds for two-dimensional continued \(g\)-fraction.
- On Some Sequences of the Sets of Uniform Convergence for Two-Dimensional Continued Fractions
- Two-Dimensional Generalization of the Rutishauser qd -Algorithm
- Approximation of functions of several variables by multidimensional $S$-fractions with independent variables
- On some of convergence domains of multidimensional S-fractions with independent variables
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