S. Ratushniak

most citedOne continuum class of fractal functions defined in terms of

Q_{s}^{*}

-representation

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.FA2026

A Continuous digit projector from binary representations of numbers onto $A_{2}$ -representation

O. O. Nikorak, S. P. Ratushniak

As is known, the $A_{2}$ -continued representation of numbers is not topologically equivalent to the classical binary representation; therefore, the digit projector of such representa…

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=Î^{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…

math.PR2026

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

Mykola Pratsiovytyi, Sofiia Ratushniak

Given natural parameters s and r, where $2 \leq s \leq r$ , we consider the distribution of a random variable $Î¾=\sum\limits_{k=1}^{\infty}s^{-k}Î¾_k\equivÎ^{r_s}_{Î¾_1Î¾_2...Î¾_k..…

A Continuous digit projector from binary representations of numbers onto A2​-representation

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

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

A Continuous digit projector from binary representations of numbers onto $A_{2}$ -representation

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