RUS  ENG
Full version
JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2020 Volume 16, Number 2, Pages 174–189 (Mi jmag752)

This article is cited in 3 papers

Certain functions defined in terms of Cantor series

Symon Serbenyuk

45 Shchukina St., Vinnytsia, 21012, Ukraine

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

Key words and phrases: nowhere differentiable function, singular function, expansion of real number, nonmonotonic function, Hausdorff dimension.

MSC: 26A27, 26A30, 11B34, 11K55

Received: 01.08.2019
Revised: 16.10.2019

Language: English

DOI: 10.15407/mag16.02.174



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024