Derivatives and closed sets (Q795944)
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scientific article; zbMATH DE number 3863515
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivatives and closed sets |
scientific article; zbMATH DE number 3863515 |
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Derivatives and closed sets (English)
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1984
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The author proves that a real function defined on a closed set S and differentiable relative to S can be extended to a function differentiable on the whole real line. This is a generalization of a result of \textit{G. Petruska} and \textit{M. Laczkovich} [Acta. Math. Acad. Sci. Hung. 25, 189- 212 (1974; Zbl 0279.26003)].
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extension to a function differentiable on the whole real line
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closed set
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