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An alternate approach to the McShane integral - MaRDI portal

An alternate approach to the McShane integral (Q1852338)

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scientific article; zbMATH DE number 1848806
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An alternate approach to the McShane integral
scientific article; zbMATH DE number 1848806

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    An alternate approach to the McShane integral (English)
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    5 January 2003
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    This paper considers McShane integrals on a non-atomic probability quasi-Radon space. The authors use finite Henstock partitions by disjoint families of measurable sets that cover the domain up to a set of arbitrarily small measure. The main result is that they prove their method is equivalent to that of \textit{D. H. Fremlin}, [``The generalized McShane integral'' (1995; Zbl 0810.28006)], who uses countable partitions. Some other integrals of McShane type are also considered.
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    McShane integral
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    vector-valued function
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    Henstock partitions
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