Integration by parts for Perron integral (Q1175329)
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scientific article; zbMATH DE number 11459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integration by parts for Perron integral |
scientific article; zbMATH DE number 11459 |
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Integration by parts for Perron integral (English)
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25 June 1992
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The proof of the simple integration by parts theorem for the Perron integral was a long time in arriving, and a simple proof has taken even longer. The present proof is extremely short and simple and is based on a recent characterization of Perron integrable functions due to \textit{V. A. Sklyarenko} [Mat. Sb., Nov. Ser. 112(154), 630-646 (1980; Zbl 0447.26007)].
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integration by parts theorem
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Perron integral
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