8 citations
5 papers
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…
On one map between singular expansions
Symon Serbenyuk
The present article deals with properties of one map between two expansions of real numbers of the Salem type. Differential, integral, and other properties of the function were con…
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 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…