Про розподіли значень функцій типу Серпінського

We construct an infinite-parameter family of continuous nowheremonotonic and, in general, non-differentiable functions which aregeneralizations of classical nowhere differentiable Sierpi\'nskifunction. We study topological and metric propertiesof the distribution of values of functions belo...

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Bibliographic Details
Date:2019
Main Author: Василенко, Н. А.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2019
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/520
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine