Open Access
2013/2014 Generalized Kiesswetter’s Functions
Delong Li, Jie Miao
Real Anal. Exchange 40(1): 141-156 (2013/2014).


In 1966, Kiesswetter found an interesting example of continuous everywhere but differentiable nowhere functions using base-4 expansion of real numbers. In this paper we show how Kiesswetter’s function can be extended to general cases. We also provide an equivalent form for such functions via a recurrence relation.


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Delong Li. Jie Miao. "Generalized Kiesswetter’s Functions." Real Anal. Exchange 40 (1) 141 - 156, 2013/2014.


Published: 2013/2014
First available in Project Euclid: 1 July 2015

zbMATH: 1384.26012
MathSciNet: MR3365395

Primary: 26A06 , 26A27
Secondary: 26A15

Keywords: continuous functions , non-differentiable functions

Rights: Copyright © 2015 Michigan State University Press

Vol.40 • No. 1 • 2013/2014
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