The \(s\)-dimensional Hausdorff integral and its physical interpretation (Q1912736)
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scientific article; zbMATH DE number 878226
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(s\)-dimensional Hausdorff integral and its physical interpretation |
scientific article; zbMATH DE number 878226 |
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The \(s\)-dimensional Hausdorff integral and its physical interpretation (English)
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24 February 1997
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The author defines, for a function \(f : E \to \mathbb{R}\), where \(E \subset [a,b] \subset \mathbb{R}\) is of Lebesgue measure 0, a Kurzweil-Henstock type integral using the \(s\)-dimensional Hausdorff measure, \(0 < s < 1\), and investigates its relation to \(s\)-power derivation [cf. also the author, Proc. Am. Math. Soc. 123, No. 9, 2731-2737 (1995; preceding review)].
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Kurzweil-Henstock type integral
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Hausdorff measure
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0.7517048716545105
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0.7504160404205322
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0.7478825449943542
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