Locally increasing points of nowhere differentiable functions (Q1263687)
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scientific article; zbMATH DE number 4127530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Locally increasing points of nowhere differentiable functions |
scientific article; zbMATH DE number 4127530 |
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Locally increasing points of nowhere differentiable functions (English)
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1989
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The main result: If H is an arbitrary \(F_{\sigma}\) set of measure 0, contained in the unit interval I, then there is a continuous nowhere differentiable function on I such that \(x\in H\) iff f is locally increasing at x.
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continuous nowhere differentiable function
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