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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2016
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155748 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707542867574784 |
|---|---|
| author | Isaieva, T.M. Pratsiovytyi, M.V. |
| author_facet | Isaieva, T.M. Pratsiovytyi, M.V. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T17:06:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155748 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:06:11Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Transformations of (0,1] preserving tails of Δμ-representation of numbers Isaieva, T.M. Pratsiovytyi, M.V. |
| title | 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_short | Transformations of (0,1] preserving tails of Δμ-representation of numbers |
| title_sort | transformations of (0,1] preserving tails of δμ-representation of numbers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155748 |
| work_keys_str_mv | AT isaievatm transformationsof01preservingtailsofδμrepresentationofnumbers AT pratsiovytyimv transformationsof01preservingtailsofδμrepresentationofnumbers |