21 citations · 200 across the 33 of their papers we have counts for
5 papers · 1 filter
Systems of functional equations, the generalized shift, and modelling pathological functions
Symon Serbenyuk
The present article is devoted to one class of generalizations of the Salem functions. To construct such functions by systems of functional equations, the generalized shift operato…
On one class of modifications of the Salem function
Symon Serbenyuk
The present article deals with properties of one class of functions with complicated local structure. These functions can be modeled by certain operators of digits. Such operators…
One example of singular representations of real numbers from the unit interval
Symon Serbenyuk
In this article, for modelling numeral systems, the operator approach, which is introduced in [25], is generalized for a certain case. An example of such numeral systems is introdu…
One modification of the Salem function
Symon Serbenyuk
The present article is devoted to one example which related to the Salem function. The main attention is given to properties of one type of functions including items related to fun…
One class of functions with arguments in negative bases
Symon Serbenyuk
The present research deals with generalizations of the Salem function with arguments defined in terms of certain alternating expansions of real numbers. The special attention is gi…