On one map between singular expansions
arXiv:2403.09699 · doi:10.1007/s41478-024-00825-1
Abstract
The present article deals with properties of one map between two expansions of real numbers of the Salem type. Differential, integral, and other properties of the function were considered.
arXiv comment15 pages
References in corpus (19)
- A multifractal formalism for Hewitt-Stromberg measures
- A review on multifractal analysis of Hewitt-Stromberg measures
- Multifractal spectra of Moran measures without local dimension
- Non-differentiable functions defined in terms of classical representations of real numbers
- On one fractal property of the Minkowski function
- 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
- Generalizations of certain representations of real numbers
- 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)
- Certain singular distributions and fractals
- One modification of the Salem function
- One class of functions with arguments in negative bases
- On certain maps defined by infinite sums
- On one approach to modeling numeral systems
- Certain functions defined in terms of Cantor series
- On one class of modifications of the Salem function
- Cantor series expansions of rational numbers
- Rational numbers represented by sign-variable Cantor series
- A Pillai-Catalan-type problem involving Fibonacci numbers