Generalized Kiesswetter's Functions

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...

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Bibliographic Details
Published inReal analysis exchange Vol. 40; no. 1; p. 141
Main Authors Li, Delong, Miao, Jie
Format Journal Article
LanguageEnglish
Published East Lansing Michigan State University Press 01.01.2014
Subjects
Mathematical analysis
Numbers
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Summary: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.
ISSN:0147-1937
1930-1219