Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12128/13016| Title: | On a problem of Janusz Matkowski and Jacek Wesołowski, II |
| Authors: | Morawiec, Janusz Zürcher, Thomas |
| Keywords: | functional equations; Iterated function systems; singular functions; absolutely continuous functions |
| Issue Date: | 2019 |
| Citation: | Aequationes mathematicae, Vol. 93, iss. 1 (2019), s. 91-108 |
| Abstract: | We continue our study started in Morawiec and Zürcher (Aequ Math 92(4):601-615, 2018) of the functional equation φ(x)=∑n=0Nφ(fn(x))-∑n=0Nφ(fn(0))and its increasing and continuous solutions φ:[0,1]→[0,1] such that φ(0)=0 and φ(1)=1. In this paper we assume that f0,...,fN:[0,1]→[0,1] are strictly increasing contractions such that 0≤f0(0)<f0(1)≤f1(0)<⋯<fN-1(1)≤fN(0)<fN(1)≤1and at least one of the weak inequalities is strong. |
| URI: | http://hdl.handle.net/20.500.12128/13016 |
| DOI: | 10.1007/s00010-018-00636-3 |
| ISSN: | 0001-9054 1420-8903 |
| Appears in Collections: | Artykuły (WNŚiT) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Morawiec_On_a_problem_of_Janusz.pdf | 536,27 kB | Adobe PDF | View/Open |
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