Spread of values of a Cantor-type fractal continuous nonmonotone function

DOI10.1007/s10958-019-04356-0zbMath1459.26005OpenAlexW2955604291MaRDI QIDQ2010190

O. V. Svynchuk, Mykola V. Pratsiovytyi

Publication date: 3 December 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04356-0

zbMATH Keywords

monotonicitydistributionbounded variationrandom variablelevel setssingular functionsCantor-type setsquinary alphabet

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Singular functions, Cantor functions, functions with other special properties (26A30) Functions of bounded variation, generalizations (26A45) Classical measure theory (28A99)

Related Items

On one class of singular nowhere monotone functions ⋮ Generalization of the Tribin function ⋮ Continuous nowhere differentiable function with fractal properties defined in terms of \(Q_2\)-representation ⋮ Distribution of Values of Cantor Type Fractal Functions with Specified Restrictions

Cites Work

• Singularity of the digit inversor for the \(Q_3\)-representation of the fractional part of a real number, its fractal and integral properties
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