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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
 
Creator Isaieva, T.M.
Pratsiovytyi, M.V.
 
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.
 
Date 2019-06-17T11:41:41Z
2019-06-17T11:41:41Z
2016
 
Type Article
 
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
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України