Skip navigation

Please use this identifier to cite or link to this item:
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.
DOI: 10.1007/s00010-018-00636-3
ISSN: 0001-9054
Appears in Collections:Artykuły (WNŚiT)

Files in This Item:
File Description SizeFormat 
Morawiec_On_a_problem_of_Janusz.pdf536,27 kBAdobe PDFView/Open
Show full item record

Uznanie Autorstwa 3.0 Polska Creative Commons License Creative Commons