Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2017
• Main Author: Serbenyuk, S.O.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140565
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers / S.O. Serbenyuk // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 57-81. — Бібліогр.: 11 назв. — англ.

The paper is devoted to one infinite parametric class of continuous functions with complicated local structure such that these functions are defined in terms of alternating Cantor series representation of numbers. The main attention is given to differential, integral and other properties of these fu...