Equivalences of Riemann integral based on \(p\)-norm (Q1634517)
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scientific article; zbMATH DE number 6994732
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalences of Riemann integral based on \(p\)-norm |
scientific article; zbMATH DE number 6994732 |
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Equivalences of Riemann integral based on \(p\)-norm (English)
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18 December 2018
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Summary: In the usual Riemann integral setting, the Riemann norm or a mesh is adopted for Riemann sums. In this article, we use the \(p\)-norm to define the \(p\)-integral and show the equivalences between the Riemann integral and the \(p\)-integral. The \(p\)-norm provides an alternative approach to define the Riemann integral. Based on this norm, we also derive some other equivalences of the Riemann integral and the \(p\)-integral.
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\(p\)-integral
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Riemann integral
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Darboux integral
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