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An Elementary Proof of a Theorem on Unilateral Derivatives

Published online by Cambridge University Press:  20 November 2018

F. S. Cater
F. S. Cater*
Affiliation:
Department of Mathematics, Portland State UniversityPortland, Oregon97207
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Abstract

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We give an elementary proof of the theorem of Saks that states that most functions in C[0, 1] have infinite unilateral derivatives at a continuum many points.

Keywords

infinite unilateral derivativecontinuum many pointscomplete metric space26A1526A2426A27

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 341 - 343
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Bruckner, A., Some new simple proofs of old difficult theorems, Real Analysis Exchange, 9 (1984), pp. 74–75.Google Scholar
2. Saks, S., On the functions of Besicovich in the space ofcontinuous functions, Fund. Math., 19 (1932), pp. 211–219.Google Scholar