Derivatives take every value on the set of approximate continuity points (Q795189)
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scientific article; zbMATH DE number 3861478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivatives take every value on the set of approximate continuity points |
scientific article; zbMATH DE number 3861478 |
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Derivatives take every value on the set of approximate continuity points (English)
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1983
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The author deals with real functions defined on [0,1]. He proves the following theorem: Let f be a derivative and let \(A_ f\) denote the set of approximate continuity points of f. Then f takes each of its values on \(A_ f\).
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Banach space of bounded functions
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Baire 1 functions
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Darboux Baire 1 functions
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derivatives
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approximately continuous functions
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set of approximate continuity points
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