Dragomanov Ukrainian State University

output

20092026

most citedNorm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

20 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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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

Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits

S. O. Klymchuk, O. P. Makarchuk, M. V. Pratsiovytyi

We study the relationship between the frequency of a ternary digit in a number and the asymptotic mean value of the digits. The conditions for the existence of the asymptotic mean…

math.NT2026★ 1 cited

Sets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet

Mykola Pratsiovytyi, Oleh Vynnyshyn

In this work, we study a numeral system with a natural base $s \geq 2$ and a redundant alphabet $A_{r} = {0, 1, \dots, r}$ , where $s \leq r \leq 2 s - 2$ . We investigate the topological,…

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

Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits

Sets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet

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