Open AccessABOUT ONE CLASS OF FUNCTIONS WITH FRACTAL PROPERTIES
Author(s) -
Mykola Pratsiovytyi,
Ya. V. Goncharenko,
S. O. Dmytrenko,
Iryna Lysenko,
S. P. Ratushniak
Publication year - 2021
Publication title -
bukovinsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 2309-4001
DOI - 10.31861/bmj2021.01.23
Subject(s) - fractal , generalization , mathematics , class (philosophy) , series (stratigraphy) , representation (politics) , binary number , symbol (formal) , object (grammar) , pure mathematics , statistical physics , mathematical analysis , computer science , arithmetic , artificial intelligence , physics , paleontology , politics , political science , law , biology , programming language
We consider one generalization of functions, which are called as «binary self-similar functi-ons» by Bl. Sendov. In this paper, we analyze the connections of the object of study with well known classes of fractal functions, with the geometry of numerical series, with distributions of random variables with independent random digits of the two-symbol $Q_2$-representation, with theory of fractals. Structural, variational, integral, dierential and fractal properties are studied for the functions of this class.