ABOUT ONE CLASS OF FUNCTIONS WITH FRACTAL PROPERTIES-Reference-Cited by-同舟云学术

ABOUT ONE CLASS OF FUNCTIONS WITH FRACTAL PROPERTIES

Published:2021 Issue:1 Volume:9 Page:273-283
ISSN:2309-4001
Container-title:Bukovinian Mathematical Journal
language:
Short-container-title:BMJ

Author:

Goncharenko Ya.¹,Pratsiovytyi M.¹,Dmytrenko S.²,Lysenko I.¹,Ratushniak S.³

Affiliation:

1. National Pedagogical Dragomanov University, Kyiv, Ukraine

2. National Academy of Educational Sciences of Ukraine, Kyiv, Ukraine

3. Institute of Mathematics NAS of Ukraine, Kyiv, Ukraine

Abstract

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, diﬀerential and fractal properties are studied for the functions of this class.

Publisher

Yuriy Fedkovych Chernivtsi National University

Subject

Computer Science Applications,History,Education

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