S. Ratushniak

most citedSingular distributions of random variables with independent digits of representation in numeral system with natural base and redundant alphabet

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math.NT2026★ 1 cited

One continuum class of fractal functions defined in terms of $Q_{s}^{*}$ -representation

V. V. Nazarchuk, S. O. Vaskevych, S. P. Ratushniak

In the paper we study a class $F$ of multiparameter functions defined in terms of a polybasic $s$ -adic $Q_{s}^{*}$ -representation of numbers by \begin{equation*} f_a\bigl(x=Δ^{Q^{*…

math.NT2026

Fractal functions defined in terms of number representations in systems with a redundant alphabet

M. V. Pratsiovytyi, S. P. Ratushniak, Yu. Yu. Vovk +1

For fixed natural numbers $r$ and $s$ , where $2 \leq s \leq r$ , we consider a representation of numbers from the interval $[0; \frac{r}{s - 1}]$ obtained by encoding numbers by means o…

One continuum class of fractal functions defined in terms of Qs∗​-representation

Fractal functions defined in terms of number representations in systems with a redundant alphabet

One continuum class of fractal functions defined in terms of $Q_{s}^{*}$ -representation