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A note on differentiable functions

Published:1978 Issue:1 Volume:69 Page:56
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fleissner Richard J.,Foran James

Abstract

This paper provides a proof that the class of those real functions f for which there exists a change of variable g so that f ∘ g f \circ g is differentiable coincides with the class of continuous functions which are of generalized bounded variation in the restricted sense.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-069-01/S0002-9939-1978-0466441-X/S0002-9939-1978-0466441-X.pdf

Reference3 articles.

1. Differentiability through change of variables;Bruckner, A. M.;Proc. Amer. Math. Soc.,1976

2. Parametric differentiation and the narrow Denjoy integral;Tolstov, G. P.;Mat. Sb. (N.S.),1961

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