TY - JOUR AU - Kh. Yo. Kuchmins’ka PY - 2014/08/25 Y2 - 2024/03/29 TI - Boundary Versions of the Worpitzky Theorem for Two-Dimensional Continued Fractions JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 66 IS - 8 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2202 AB - 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. ER -