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Proceedings of the American Mathematical Society
Article . 1978 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1978 . Peer-reviewed
Data sources: Crossref
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A Note on Differentiable Functions

A note on differentiable functions
Authors: Richard J. Fleissner; James Foran;

A Note on Differentiable Functions

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.

Related Organizations
Keywords

Functions of bounded variation, generalizations, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
bronze