4 papers
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…
Applications of certain probability distributions on positive integers
Symon Serbenyuk
The main goal of this research is to model and investigate generalizations of functions from [31]. Arguments of modeled functions are presented by the representation $Ï_{\mathfrak…
Minkowski type functions on probability distributions
Symon Serbenyuk
In this research, Minkowski type functions which are constructed on certain probability distributions, are introduced. There are investigated differential, integral, and other prop…
The Engel--Minkowski question-mark function
Symon Serbenyuk
The present article deals with properties of a certain function of the Minkowski type with arguments defined by Engel series. Differential, integral, and other properties of the fu…