Kurzweil’s PU integral as the Lebesgue integral

Rudolf Výborný

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Displaying similar documents to “Kurzweil’s PU integral as the Lebesgue integral”

Some characterizations of the primitive of strong Henstock-Kurzweil integrable functions

Guoju Ye (2006)

Mathematica Bohemica

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In this paper we give some complete characterizations of the primitive of strongly Henstock-Kurzweil integrable functions which are defined on $ℝ^{m}$ with values in a Banach space.

The dual of the space of functions of bounded variation

Khaing Khaing Aye, Peng Yee Lee (2006)

Mathematica Bohemica

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In the paper, we show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes integral.

Riemann type integrals for functions taking values in a locally convex space

Valeria Marraffa (2006)

Czechoslovak Mathematical Journal

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The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given.

Maple tools for the Kurzweil integral

Peter Adams, Rudolf Výborný (2006)

Mathematica Bohemica

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Riemann sums based on $δ$ -fine partitions are illustrated with a Maple procedure.