Moore-Smith limits and the Henstock integral (Q1978975)

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scientific article; zbMATH DE number 1449530
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Moore-Smith limits and the Henstock integral
scientific article; zbMATH DE number 1449530

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    Moore-Smith limits and the Henstock integral (English)
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    21 May 2000
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    The Moore-Smith limit using directed sets of \(\delta \)-fine divisions is used for introducing the concept of \(H_1\) integral. It is shown that a function \(f\) is Henstock integrable if and only if it equals almost everywhere an \(H_1\)-integrable function.
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    Moore-Smith limit
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    Henstock integral
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