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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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2016
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155748 |
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| 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. |