Transformations of (0,1] preserving tails of Δμ-representation of numbers
In the paper, classes of continuous strictly increasing functions preserving ``tails'' of Δμ-representation of numbers are constructed. Using these functions we construct also continuous transformations of (0,1]. We prove that the set of all such transformations is infinite and forms non-c...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155748 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Transformations of (0,1] preserving tails of Δμ-representation of numbers / T.M. Isaieva, M.V. Pratsiovytyi // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 102-115. — Бібліогр.: 25 назв. — англ. |
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Isaieva, T.M. Pratsiovytyi, M.V. 2019-06-17T11:41:41Z 2019-06-17T11:41:41Z 2016 Transformations of (0,1] preserving tails of Δμ-representation of numbers / T.M. Isaieva, M.V. Pratsiovytyi // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 102-115. — Бібліогр.: 25 назв. — англ. 1726-3255 2010 MSC:11H71, 26A46, 93B17. https://nasplib.isofts.kiev.ua/handle/123456789/155748 In the paper, classes of continuous strictly increasing functions preserving ``tails'' of Δμ-representation of numbers are constructed. Using these functions we construct also continuous transformations of (0,1]. We prove that the set of all such transformations is infinite and forms non-commutative group together with an composition operation. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Transformations of (0,1] preserving tails of Δμ-representation of numbers Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Transformations of (0,1] preserving tails of Δμ-representation of numbers |
| spellingShingle |
Transformations of (0,1] preserving tails of Δμ-representation of numbers Isaieva, T.M. Pratsiovytyi, M.V. |
| title_short |
Transformations of (0,1] preserving tails of Δμ-representation of numbers |
| title_full |
Transformations of (0,1] preserving tails of Δμ-representation of numbers |
| title_fullStr |
Transformations of (0,1] preserving tails of Δμ-representation of numbers |
| title_full_unstemmed |
Transformations of (0,1] preserving tails of Δμ-representation of numbers |
| title_sort |
transformations of (0,1] preserving tails of δμ-representation of numbers |
| author |
Isaieva, T.M. Pratsiovytyi, M.V. |
| author_facet |
Isaieva, T.M. Pratsiovytyi, M.V. |
| publishDate |
2016 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In the paper, classes of continuous strictly increasing functions preserving ``tails'' of Δμ-representation of numbers are constructed. Using these functions we construct also continuous transformations of (0,1]. We prove that the set of all such transformations is infinite and forms non-commutative group together with an composition operation.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155748 |
| citation_txt |
Transformations of (0,1] preserving tails of Δμ-representation of numbers / T.M. Isaieva, M.V. Pratsiovytyi // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 102-115. — Бібліогр.: 25 назв. — англ. |
| work_keys_str_mv |
AT isaievatm transformationsof01preservingtailsofδμrepresentationofnumbers AT pratsiovytyimv transformationsof01preservingtailsofδμrepresentationofnumbers |
| first_indexed |
2025-12-07T17:06:11Z |
| last_indexed |
2025-12-07T17:06:11Z |
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1850869988569645056 |