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A rough differentiable function

Abstract:
A real-valued continuously differentiable function f on the unit interval is constructed such that Γk=1∞ βf(x,2-k)=∞ holds for every x ∈ [0, 1]. Here βf(x, 2-k) measures the distance of f to the best approximating linear function at scale 2-k around x. © 2008 by the authors.
Publication status:
Published

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Publisher copy:
10.1090/S0002-9939-08-09322-2

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Journal:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY More from this journal
Volume:
136
Issue:
11
Pages:
3875-3881
Publication date:
2008-01-01
DOI:
ISSN:
0002-9939

Language:
English
Pubs id:
pubs:22723
UUID:
uuid:046cb93b-967e-408b-8aaf-a16e094d792b
Local pid:
pubs:22723
Source identifiers:
22723
Deposit date:
2012-12-19
ARK identifier:

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