On continuous functions with no derivatives (Q1908444)
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scientific article; zbMATH DE number 848936
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On continuous functions with no derivatives |
scientific article; zbMATH DE number 848936 |
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On continuous functions with no derivatives (English)
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27 March 1996
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The author proves that the Weierstrass' nowhere differentiable function \[ f(x)= \sum^\infty_{k= 1} a^k\cos(b^k x), \] \(0< a< 1\), belongs to the class \(F\) described by \textit{S. A. Shkarin} [Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 5, 195-205 (1994; reviewed above)].
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Weierstrass' nowhere differentiable function
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0.95911676
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