Yu. Vovk

most citedNumeral systems with non-zero redundancy and their applications in the theory of locally complex functions

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

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2 papers

math.NT2026★ 1 cited

Numeral systems with non-zero redundancy and their applications in the theory of locally complex functions

S. O. Vaskevych, Yu. Yu. Vovk, O. M. Pratsiovytyi

In this paper we study representations of real numbers in a numeral system with the base $a > 1$ and alphabet (digits set) $A \equiv {0, 1, ..., r}$ , $a - 1 < r \in N$ given by \[x=\sum\limi…

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…