Ніде не монотонні функції, пов'язані з зображеннями чисел рядами Кантора

Abstract

In the paper, we study properties of two continuous nowhere monotonic
functions such that their argument is represented in Cantor numeral
system with a sequence of natural bases $(s_k)$, where $s_k=2k+1$, and
value of the function is determined by a chain dependence of digits of
$Q_s$-representation of a number on digits of representation of the
argument.