Systems of functional equations and generalizations of certain functions

DOI10.1007/s00010-021-00840-8zbMath1481.11079arXiv2001.08157OpenAlexW4287904964MaRDI QIDQ822766

Symon Serbenyuk

Publication date: 23 September 2021

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08157

zbMATH Keywords

systems of functional equationscontinuous functions\(q\)-ary expansion

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Functional equations for real functions (39B22) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Systems of functional equations and inequalities (39B72) Irrationality; linear independence over a field (11J72) Representation functions (11B34)

Related Items

The generalized shifts and rational numbers, A certain modification of classical singular function, Some types of numeral systems and their modeling, Generalizations of certain representations of real numbers

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