http://hdl.handle.net/20.500.12128/8796
Title: | Means of iterates |
Authors: | Draga, Szymon Morawiec, Janusz |
Keywords: | Continuous solution; Iterate; Polynomial-like iterative equation |
Issue Date: | 2019 |
Citation: | Aequationes Mathematicae, Vol. 93, no. 1 (2019), s. 21-35 |
Abstract: | We determine continuous bijections f, acting on a real interval into itself, whose k-fold iterate is the quasi-arithmetic mean of all its subsequent iterates from f0 up to fn (where 0 k n). Namely, we prove that if at most one of the numbers k, n is odd, then such functions consist of at most three affine pieces. |
URI: | http://hdl.handle.net/20.500.12128/8796 |
DOI: | 10.1007/s00010-018-0550-y |
ISSN: | 0001-9054 1420-8903 |
Appears in Collections: | Artykuły (WNŚiT) |
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Draga_Means_of_iterates.pdf | 494,34 kB | Adobe PDF | View/Open |
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