Про одну сингулярну функцію канторівського типу, пов'язану з рядами Енгеля

In the paper, we construct and study the class ofcontinuous on $[0, 1]$ functions with continuum set of peculiarities.Any function $f$ belonging to this classis defined by the Engel series representation of its argumentand by special convergent series.Conditions for $f$ to be a~Cantor-type singular...

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Bibliographic Details
Date:2019
Main Authors: Барановський, О. М., Працьовитий, М. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2019
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/522
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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