On a certain property of the Burkill SCP-integral (Q1569764)
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scientific article; zbMATH DE number 1470957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a certain property of the Burkill SCP-integral |
scientific article; zbMATH DE number 1470957 |
Statements
On a certain property of the Burkill SCP-integral (English)
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7 December 2001
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The main result of the paper shows that there exists a measurable function \(f\) possessing both continuous SCP-majorant and minorant on the closed interval \([0, 1]\), but \(f\) is not integrable in the sense of the SCP-integral of Burkill [see \textit{J. C. Burkill}, Proc. Lond. Math. Soc., III. Ser. 1, 46-51 (1951; Zbl 0042.28403)].
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generalized integral of Perron type
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Perron integral
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Burkill SCP-integral
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SCP-majorant
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minorant
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