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2002/2003 Constructing nowhere differentiable functions from convex functions.
F. S. Cater
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Real Anal. Exchange 28(2): 617-623 (2002/2003).


We find an easy way to construct a continuous nowhere differentiable function from any nondecreasing convex function mapping the unit interval onto itself. We give a number of examples of nowhere differentiable functions constructed this way.


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F. S. Cater. "Constructing nowhere differentiable functions from convex functions.." Real Anal. Exchange 28 (2) 617 - 623, 2002/2003.


Published: 2002/2003
First available in Project Euclid: 20 July 2007

zbMATH: 1063.26003
MathSciNet: MR2010342

Primary: 26A24 , 26A51‎

Keywords: Concave , convex , finite derivative , nowhere differentiable

Rights: Copyright © 2002 Michigan State University Press

Vol.28 • No. 2 • 2002/2003
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