Klymchuk S. O.
Ukr. Mat. Zh. - 2014. - 66, № 3. - pp. 302–310
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 of digits in a ternary number are established. We indicate an infinite everywhere dense set of numbers without frequency of digits but with the asymptotic mean of the digits.