Please use this identifier to cite or link to this item:
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) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Draga_Means_of_iterates.pdf | 494,34 kB | Adobe PDF | View/Open |
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