On Stieltjes integration in Euclidean space (Q1075451)
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scientific article; zbMATH DE number 3950897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Stieltjes integration in Euclidean space |
scientific article; zbMATH DE number 3950897 |
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On Stieltjes integration in Euclidean space (English)
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1986
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This paper is the sequel to the paper in Am. Math. Mon. 91, 551-559 (1984; Zbl 0548.26005) by the same author. The definition of the Riemann- Stieltjes integral of functions of one variable proposed in the previous paper is now extended to n-dimensional Euclidean space. Several definitions are introduced in order to state continuity conditions that are necessary and sufficient for RS-integrability in \(R^ n\) in the sense proposed by the author. In addition the Fubini theorem for RS- integral in a general form is proved.
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Riemann-Stieltjes integral
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RS-integrability in \(R^ n\)
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Fubini theorem
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0.89940643
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0.88774776
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