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1999/2000 On the Dini Derivates of a Particular Function
F. S. Cater
Real Anal. Exchange 25(2): 943-946 (1999/2000).

Abstract

We construct a continuous strictly increasing function such that at each point one of its right Dini derivates is $0$ or $\infty$, and at each point one of its left Dini derivates is $0$ or $\infty$. Thus at no point can it have a positive real unilateral derivative.

Citation

Download Citation

F. S. Cater. "On the Dini Derivates of a Particular Function." Real Anal. Exchange 25 (2) 943 - 946, 1999/2000.

Information

Published: 1999/2000
First available in Project Euclid: 3 January 2009

zbMATH: 1017.26007
MathSciNet: MR1778546

Subjects:
Primary: 26A24 , 26A48

Keywords: derivative , Dini derivate , strictly increasing function

Rights: Copyright © 1999 Michigan State University Press

Vol.25 • No. 2 • 1999/2000
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