On a flexible class of continuous functions with uniform local structure
On a flexible class of continuous functions with uniform local structure
This paper considers a class of continuous functions constructed as a series of iterates of the "tent map" multiplied by variable signs. This class includes Takagi's nowhere-differentiable function, and contains the functions studied by Hata and Yamaguti [Japan J. Appl. Math., 1 (1984), 183-199] and Kono [Acta Math. Hungar., 49 …