Journal of Convex Analysis 27 (2020), No. 1, 307--312
Copyright Heldermann Verlag 2020
Non Approximate Derivabilityof the Takagi Function
Juan Ferrera
Dep. de Análisis Matemático, Facultad Ciencias Matemáticas, Universidad Complutense, 28040 Madrid, Spain
ferrera@mat.ucm.es
Javier Gómez-Gil
Dep. de Análisis Matemático, Facultad Ciencias Matemáticas, Universidad Complutense, 28040 Madrid, Spain
gomezgil@mat.ucm.es
The Takagi function is a classical example of a continuous nowhere differentiable function. In this paper we prove that it is nowhere approximately derivable.
Keywords: Approximate differentiability, Takagi function.
MSC: 26A27, 26A24.
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