Boundary versions of the Worpitzky theorem for two-dimensional continued fractions

DOI10.1007/s11253-015-1005-4zbMath1358.40002OpenAlexW2054764758MaRDI QIDQ317368

Kh. Yo. Kuchmins'ka

Publication date: 30 September 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1005-4

zbMATH Keywords

continued fractionsgeneralization of continued fractiongeneralization of the Worpitzky theoremtwo-dimensional continued fractionsWorpitzky theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Convergence and divergence of continued fractions (40A15)

Related Items (2)

A Worpitzky boundary theorem for branched continued fractions of the special form ⋮ Development of the Theory of Branched Continued Fractions in 1996–2016

Cites Work

• Continued fractions. Vol. 1: Convergence theory
• On sufficient conditions for convergence of two-dimensional continued fractions
• Worpitzky's theorem on continued fractions
• The Worpitzky-Pringsheim theorem on continued fractions
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