21 citations · 200 across the 33 of their papers we have counts for
5 papers · 1 filter
On some generalizations of real numbers representations
Symon Serbenyuk
The article is devoted to introduce and investigation of new numeral systems. These representations are generalizations of classical representations of real numbers. The main prope…
Continuous functions with complicated local structure that defined in terms of alternating Cantor series representation of numbers
Symon Serbenyuk
The article is devoted to one infinite parametric class of continuous functions with complicated local structure. In the article differential, integral, self-affine and other prope…
Nega--representation of real numbers
Symon Serbenyuk
The article is devoted to modeling of the nega--representation of real numbers. The representation is a generalization of representation by alternating Cantor series and…
Representation of real numbers by the alternating Cantor series
Symon Serbenyuk
The article is devoted to the alternating Cantor series. It is proved that any real number belonging to , where $a_0=\sum^{\infty} _{k=1} {\frac{d_{2k}-1}{d_1d_2...d_{…
On one class of functions with complicated local structure that the solutions of infinite systems of functional equations (On one application of infinite systems of functional equations in the functions theory)
Symon Serbenyuk
The article is devoted to investigation of applications of infinite systems of functional equations for modeling of functions with complicated local structure, that are defined in…