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

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...

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Bibliographic Details
Date:2017
Main Author: Serbenyuk, S.O.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/140565
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine