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

• Datum: 2014
• Hauptverfasser: Kuchmins’ka, Kh. Yo., Кучмінська, Х. Й.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2202
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.