Journal of Mathematical Physics, Analysis, Geometry
2020, vol. 16, No 2, pp. 174-189   https://doi.org/10.15407/mag16.02.174     ( to contents , go back )
https://doi.org/10.15407/mag16.02.174

Certain Functions Defined in Terms of Cantor Series

Symon Serbenyuk

45 Shchukina St., Vinnytsia, 21012, Ukraine
E-mail: simon6@ukr.net

Received August 1, 2019, revised October 16, 2019.

Abstract

The present paper is devoted to certain examples of functions whose argument is represented in terms of Cantor series.

Mathematics Subject Classification 2000: 26A27, 26A30, 11B34, 11K55
Key words: nowhere differentiable function, singular function, expansion of real number, nonmonotonic function, Hausdorff dimension

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