On vector-valued curves that allow a \(C^{1,\alpha}\)-parametrization (Q532066)
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scientific article; zbMATH DE number 5881179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On vector-valued curves that allow a \(C^{1,\alpha}\)-parametrization |
scientific article; zbMATH DE number 5881179 |
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On vector-valued curves that allow a \(C^{1,\alpha}\)-parametrization (English)
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26 April 2011
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Continuous paths \(f: [a, b] \rightarrow X\) in a Banach space \(X\) which admit an equivalent \(C^{1,\alpha}\)-parametrization are characterized. The applied methods generalize those used in the \(C^{2}\)-case. Concrete examples illustrate the main result.
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curve in Banach spaces
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parametrization with a Hölder derivative
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differentiability via homeomorphisms
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continuous path in a Banach space
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\(C^{1,\alpha}\)-parametrization
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functions of bounded variation
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