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.

Збережено в:
Бібліографічні деталі
Дата:2014
Автори: Kuchmins’ka, Kh. Yo., Кучмінська, Х. Й.
Формат: Стаття
Мова:Українська
Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/2202
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Репозитарії

Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме: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.