Continued \(A_2\)-fractions and singular functions

DOI10.30970/ms.58.1.3-12OpenAlexW4308006830MaRDI QIDQ2691142

I. M. Lysenko, S. P. Ratushniak, Ya. V. Goncharenko, Mykola V. Pratsiovytyi

Publication date: 29 March 2023

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

Full work available at URL: https://doi.org/10.30970/ms.58.1.3-12

zbMATH Keywords

singular functioncylinderconvergent\(A_2\)-continued fraction\(A\)-representation of numbersbasic metric relationcylindrical derivativenormal property of number

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Metric theory of continued fractions (11K50)

Related Items (1)

Finite \(A_2\)-continued fractions in the problems of rational approximations of real numbers

Cites Work

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• Fractal functions of exponential type that is generated by the \(Q_2^*\)-representation of argument
• A 2-continued fraction representation of real numbers and its geometry
• On singularity and fine spectral structure of random continued fractions
• Singularity of distributions of random variables given by distributions of elements of the corresponding continued fraction
• ABOUT ONE CLASS OF FUNCTIONS WITH FRACTAL PROPERTIES
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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