Some full characterizations of the strong McShane integral

Tuo-Yeong Lee

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Displaying similar documents to “Some full characterizations of the strong McShane integral”

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.

Some full descriptive characterizations of the Henstock-Kurzweil integral in the Euclidean space

Lee Tuo-Yeong (2005)

Czechoslovak Mathematical Journal

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Using generalized absolute continuity, we characterize additive interval functions which are indefinite Henstock-Kurzweil integrals in the Euclidean space.

Gauge integrals and series

Charles W. Swartz (2004)

Mathematica Bohemica

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This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.