Sufficient conditions for equivalent convergence of a sequence of different approximants for two-dimensional continued fractions (Q2831356)
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scientific article; zbMATH DE number 6647292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient conditions for equivalent convergence of a sequence of different approximants for two-dimensional continued fractions |
scientific article; zbMATH DE number 6647292 |
Statements
2 November 2016
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equivalence to ordinary and figured convergence
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continued two-dimensional fraction
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Sufficient conditions for equivalent convergence of a sequence of different approximants for two-dimensional continued fractions (English)
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The authors propose to use the method of fundamental inequalities to study an equivalent convergence of two figured approximants for two-dimensional continued fractions. The approximants are obtained from the problem on correspondence of two-dimensional continued fractions to a double power series and from the problem on equivalence of two two-dimensional continued fractions. Some sufficient conditions are obtained under which these two approximants converge to the same limit.
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