On one class of modifications of the Salem function
arXiv:2307.16102 · doi:10.1007/s10474-024-01406-1
Abstract
The present article deals with properties of one class of functions with complicated local structure. These functions can be modeled by certain operators of digits. Such operators were considered by the author earlier (for example, see [27, 39] and references therein). This research is a generalization of investigations presented in the last-mentioned papers.
arXiv comment11 pages, a generalization of arXiv:2304.07776
References in corpus (11)
- On one fractal property of the Minkowski function
- Non-differentiable functions defined in terms of classical representations of real numbers
- On certain generalizations of one function and related problems (Systems of functional equations and generalizations of certain functions)
- On one class of functions with complicated local structure that the solutions of infinite systems of functional equations (On one application of infinite systems of functional equations in the functions theory)
- Generalizations of certain representations of real numbers
- Certain singular distributions and fractals
- One class of functions with arguments in negative bases
- One modification of the Salem function
- On certain maps defined by infinite sums
- On one approach to modeling numeral systems
- Certain functions defined in terms of Cantor series