Gauge integrals and series

Charles W. Swartz

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Displaying similar documents to “Gauge integrals and series”

Some full characterizations of the strong McShane integral

Tuo-Yeong Lee (2004)

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.

Denjoy integral and Henstock-Kurzweil integral in vector lattices. II

Toshiharu Kawasaki (2009)

Czechoslovak Mathematical Journal

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In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.