Signs of convergence of periodic branched chain shapes of a special form

• Date: 2015
• Author Affiliations: М. М. Бубняк — Тернопільський національний економічний університет
• Keywords: keywords
• Main Authors: Bubnyak, M. M., Бубняк, М. М.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/282
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The circle (multidimensional generalization of Worpitsky's Theorem) and the oval regions of the convergence were investigated for $\overrightarrow{p}$-periodic branched continued fractions of the special form. For 1-periodic these fractions the convergence was proved, the truncation error b...