Boundary Versions of the Worpitzky Theorem for Two-Dimensional Continued Fractions

For a two-dimensional continued fraction another generalization of the Worpitzky theorem is proved and the limit sets are proposed for Worpitzky-like theorems in the case where the element sets of the twodimensional continued fraction are replaced by their boundaries.

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Bibliographic Details
Date:2014
Main Authors: Kuchmins’ka, Kh. Yo., Кучмінська, Х. Й.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2202
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal