Dragomanov Ukrainian State University

most citedOne continuum class of fractal functions defined in terms of

Q_{s}^{*}

-representation

1 citations

researchers with a paper here

collaborating institutions

3 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

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…

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

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

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