On the Henstock-Kurzweil integral for Riesz-space-valued functions defined on unbounded intervals

Antonio Boccuto; Beloslav Riečan

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Displaying similar documents to “On the Henstock-Kurzweil integral for Riesz-space-valued functions defined on unbounded intervals”

Some full characterizations of the strong McShane integral

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Mathematica Bohemica

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Some full characterizations of the strong McShane integral are obtained.

A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

Tuo-Yeong Lee (2008)

Czechoslovak Mathematical Journal

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In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integral is $F_{σ δ}$ regular. As a result, we give a shorter proof of the measure-theoretic characterization of the Henstock-Kurzweil integral.

Riemann-type definition of the improper integrals

Donatella Bongiorno (2004)

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Riemann-type definitions of the Riemann improper integral and of the Lebesgue improper integral are obtained from McShane’s definition of the Lebesgue integral by imposing a Kurzweil-Henstock’s condition on McShane’s partitions.