Transformations of (0,1] preserving tails of Δμ-representation of numbers
Vernadsky National Library of Ukraine
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Title |
Transformations of (0,1] preserving tails of Δμ-representation of numbers
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Creator |
Isaieva, T.M.
Pratsiovytyi, M.V. |
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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.
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Date |
2019-06-17T11:41:41Z
2019-06-17T11:41:41Z 2016 |
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Type |
Article
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Identifier |
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 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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