Generalization of the Denjoy-Young-Saks theorem for \(\mathcal{I}\)-approximate Dini derivatives (Q1878619)
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scientific article; zbMATH DE number 2099081
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of the Denjoy-Young-Saks theorem for \(\mathcal{I}\)-approximate Dini derivatives |
scientific article; zbMATH DE number 2099081 |
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Generalization of the Denjoy-Young-Saks theorem for \(\mathcal{I}\)-approximate Dini derivatives (English)
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7 September 2004
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The unilateral \({\mathcal I}\)-approximate Dini derivatives of a (general) real function are introduced, as an attempt of extending the (standard) unilateral Dini derivatives. As an argument for their consistency, some (enlarged) versions of the Denjoy-Young-Saks theorem involving such objects are given.
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\(\mathcal{I}\)-density point, \(\mathcal{I}\)-approximate Dini derivatives
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