A note on differentiable functions
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- by Richard J. Fleissner and James Foran PDF
- Proc. Amer. Math. Soc. 69 (1978), 56 Request permission
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 $f \circ g$ is differentiable coincides with the class of continuous functions which are of generalized bounded variation in the restricted sense.References
- A. M. Bruckner and C. Goffman, Differentiability through change of variables, Proc. Amer. Math. Soc. 61 (1976), no. 2, 235–241 (1977). MR 432831, DOI 10.1090/S0002-9939-1976-0432831-2
- Stanisław Saks, Theory of the integral, Second revised edition, Dover Publications, Inc., New York, 1964. English translation by L. C. Young; With two additional notes by Stefan Banach. MR 0167578
- G. P. Tolstov, Parametric differentiation and the narrow Denjoy integral, Mat. Sb. (N.S.) 53 (95) (1961), 387–392 (Russian). MR 0139713
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 56
- MSC: Primary 26A24
- DOI: https://doi.org/10.1090/S0002-9939-1978-0466441-X
- MathSciNet review: 0466441