Continuous nowhere monotonic function, defined in terms of non-ternary and chain A2-fractions

• Date: 2020
• Author Affiliations: M.V. Pratsevytyi — National Pedagogical Dragomanov University; A.S. Chuykov — Institute of mathematics of National Academy of Sciences
• Keywords: keywords
• Main Authors: Pratsevytyi, M.V., Chuykov, A.S., Працевитый, Н.В., Чуйков, А.С., Працьовитий, М.В.
• Format: Article
• Language: Ukrainian; English
• Published: Інститут математики НАН України 2020
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/438
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We study properties of continuous nowhere monotonicity function on [0; 1], which is defined in terms of nega-3-adic and $A_2$ -representation of real numbers. We proved a correctness of its definition, continuity and monotony, and described some properties of its graph and sets of levels.