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- Title
New characterizations of the Takagi function via functional equations.
- Authors
Sadowski, Łukasz
- Abstract
We provide two new characterizations of the Takagi function as the unique bounded solution of some systems of two functional equations. The results are independent of those obtained by Kairies (Wyż Szkoł Ped Krakow Rocznik Nauk Dydakt Prace Mat 196:73-82, 1998), Kairies (Aequ Math 53:207-241, 1997), Kairies (Aequ Math 58:183-191, 1999) and Kairies et al. (Rad Mat 4:361-374, 1989; Errata, Rad Mat 5:179-180, 1989).
- Subjects
FUNCTIONAL equations; MATHEMATICAL analysis; MATHEMATICAL bounds; NONDIFFERENTIABLE functions; INTEGERS
- Publication
Aequationes Mathematicae, 2017, Vol 91, Issue 6, p1001
- ISSN
0001-9054
- Publication type
Article
- DOI
10.1007/s00010-017-0501-z