Manfred Krüppel

### On the improper derivatives of Takagi's continuous nowhere differentiable function

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 65, 3 - 13 (2010)

 MSC: 26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives

Abstract:   This note is a completion of \cite{kru-k} where it was investigated among other things the improper derivatives of Takagi's continuous nowhere differentiable function $T$. We determine all points $x$ for which $T$ has the one-sided improper derivatives $T'_+(x)=\infty$ and $T'_-(x)=\infty$.

Keywords:   Takagi's continuous nowhere differentiable function, improper derivatives

karin.martin@uni-rostock.de
Seite generiert am 15.12.2010,   15:14   Uhr
Korrektur im Titel vorgenommen am 01.02.2012