Certain Functions Defined in Terms of Cantor Series

DOI10.15407/mag16.02.174zbMath1460.26005arXiv1905.12148OpenAlexW3041483645MaRDI QIDQ5854182

Symon Serbenyuk

Publication date: 16 March 2021

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12148

zbMATH Keywords

singular functionHausdorff dimensionnowhere differentiable functionexpansion of real numbersnonmonotonic function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Representation functions (11B34)

Related Items (2)

Systems of functional equations and generalizations of certain functions ⋮ A certain modification of classical singular function

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