Inversor of digits \(Q^\ast_2\)-representative of numbers

DOI10.30970/MS.55.1.37-43zbMath1471.11224OpenAlexW3134916895MaRDI QIDQ2028185

S. P. Ratushniak, N. V. Dyvliash, Ya. V. Goncharenko, Mykola V. Pratsiovytyi

Publication date: 31 May 2021

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.55.1.37-43

zbMATH Keywords

singular functionself-affine setfractal graphs of functionsinversor of digits of \(Q^*_2\)-representation of numbersself-affine dimensiontwo-symbol system of encoding of numbers of unit interval

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50) Relations with coding theory (11H71)

Related Items (2)

Superpositions of functions with fractal properties ⋮ Finite \(A_2\)-continued fractions in the problems of rational approximations of real numbers

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
• Continuous distributions whose functions preserve tails of an \(A\)-continued fraction representation of numbers
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