A characterization of the nondifferentiability set of the Cantor function-Reference-Cited by-同舟云学术

A characterization of the nondifferentiability set of the Cantor function

Published:1974 Issue:1 Volume:42 Page:214-217
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Eidswick J. A.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-042-01/S0002-9939-1974-0327992-8/S0002-9939-1974-0327992-8.pdf

Reference6 articles.

1. G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960.

2. Dini derivatives of continuous functions;Morse, Anthony P.;Proc. Amer. Math. Soc.,1954

3. Interscience Tracts in Pure and Applied Mathematics, No. 14;Niven, Ivan,1963

4. The Carus Mathematical Monographs, No. 11;Niven, Ivan,1956

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