An extension of a theorem of Banach (Q1924972)
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scientific article; zbMATH DE number 938597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of a theorem of Banach |
scientific article; zbMATH DE number 938597 |
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An extension of a theorem of Banach (English)
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3 June 1997
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The main result of the paper says that for nearly all functions which are continuous on the \(n\)-dimensional cube at each point \(P\) of the interior of the cube and for each direction upper and lower directional derivatives are \(+\infty\) and \(-\infty\), respectively. Here ``nearly all'' means except a sigma porous set.
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directional derivatives
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sigma porous set
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