Non Approximate Derivabilityof the Takagi Function

Juan Ferrera; Javier Gómez-Gil

Abstract

The Takagi function is a classical example of a continuous nowhere differentiable function. In this paper we prove that it is nowhere approximately derivable.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Approximate differentiability
Takagi function

Mathematics Subject Classification

26A27, 26A24

Suggested citation

J. Ferrera, J. Gómez-Gil. “Non Approximate Derivabilityof the Takagi Function.” Journal of Convex Analysis 27 (2020), No. 1, 307–312.