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Proceedings of the American Mathematical Society

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A characterization of the nondifferentiability set of the Cantor function


Author: J. A. Eidswick
Journal: Proc. Amer. Math. Soc. 42 (1974), 214-217
MSC: Primary 26A27
MathSciNet review: 0327992
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Abstract: The points of nondifferentiability of the Cantor ternary function are characterized in terms of the spacing of 0's and 2's in ternary expansions. One consequence is an illustration of Morse's intermediate-value theorem for Dini derivates.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0327992-8
Keywords: Dini derivates, normal numbers, Diophantine approximation
Article copyright: © Copyright 1974 American Mathematical Society