Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces (Q927789)
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scientific article; zbMATH DE number 5285850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces |
scientific article; zbMATH DE number 5285850 |
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Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces (English)
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10 June 2008
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By using the famous Maeda-Ogasawara-Vulikh theorem on a representation of an Archimedean Riesz space and the notions of global limit, derivative and continuity of Riesz space-valued functions, the authors investigated some fundamental properties of the Perron type integrals of order 1 and 2 in the Riesz space-valued case. The main results of the paper are useful analogues of the integration by parts formulae for these integrals.
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Riesz space
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Riemann-Stieltjes integral
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Perron integral
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major function
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minor function
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integration by parts
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