A rough differentiable function
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.
| मुख्य लेखकों: | , |
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| स्वरूप: | Journal article |
| भाषा: | English |
| प्रकाशित: |
2008
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