$Transformations of $(0,1]$ preserving tails of $\Delta^{\mu}$-representation of numbers$

Transformations of $(0,1]$ preserving tails of $\Delta^{\mu}$-representation of numbers

Let $\mu\in (0,1)$ be a given parameter, $\nu\equiv 1-\mu$. We consider $\Delta^{\mu}$-representation of numbers $x=\Delta^{\mu}_{a_1a_2\ldots a_n\ldots}$ belonging to $(0,1]$ based on their expansion in alternating series or finite sum in the form:\[x=\sum_n(B_{n}-{B'_n})\equiv \Delt...

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Bibliographic Details
Date:	2016
Main Authors:	Isaieva, Tetiana M., Pratsiovytyi, Mykola V.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2016
Subjects:	$\Delta^{\mu}$-representation cylinder tail set function preserving ``tails'' of $\Delta^{\mu}$-representation of numbers continuous transformation of $(0,1]$ preserving ``tails'' of $\Delta^{\mu}$-representation of numbers 11H71 26A46 93B17
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/202
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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Transformations of \((0,1]\) preserving tails of \(\Delta^{\mu}\)-representation of numbers

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