On certain maps defined by infinite sums
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Publication:1996460
DOI10.1007/s41478-020-00229-xzbMath1460.26004arXiv2001.11852OpenAlexW3003695096MaRDI QIDQ1996460
Publication date: 5 March 2021
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.11852
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)
Cites Work
- Unnamed Item
- A Salem generalised function
- On one fractal property of the Minkowski function
- De Rham's singular function and related functions
- Large and moderate deviation principles for alternating Engel expansions
- Eine überall stetige und nirgends differenzierbare Funktion
- Beta-Expansions with Negative Bases
- Representations for real numbers and their ergodic properties
- Lüroth-type alternating series representations for real numbers
- A Nowhere Differentiable Continuous Function Constructed Using Cantor Series
- On one class of functions with complicated local structure
- Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers
- Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers
- On One Application of Infinite Systems of Functional Equations in Function Theory
- Representation of real numbers by the alternating Cantor series
- More on the Differentiability of the Riemann Function
- Continuous Functions without Derivatives
- On Some Singular Monotonic Functions Which Are Strictly Increasing
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