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...
Збережено в:
| Дата: | 2016 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155748 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155748 |
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irk-123456789-1557482019-06-18T01:25:37Z Transformations of (0,1] preserving tails of Δμ-representation of numbers Isaieva, T.M. Pratsiovytyi, M.V. 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. 2016 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/155748 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Isaieva, T.M. Pratsiovytyi, M.V. |
| spellingShingle |
Isaieva, T.M. Pratsiovytyi, M.V. Transformations of (0,1] preserving tails of Δμ-representation of numbers Algebra and Discrete Mathematics |
| author_facet |
Isaieva, T.M. Pratsiovytyi, M.V. |
| author_sort |
Isaieva, T.M. |
| title |
Transformations of (0,1] preserving tails of Δμ-representation of numbers |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT isaievatm transformationsof01preservingtailsofdmrepresentationofnumbers AT pratsiovytyimv transformationsof01preservingtailsofdmrepresentationofnumbers |
| first_indexed |
2023-05-20T17:47:39Z |
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2023-05-20T17:47:39Z |
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1796154099567165440 |