Displaying similar documents to “On the σ -finiteness of a variational measure”

The AP-Denjoy and AP-Henstock integrals revisited

Valentin A. Skvortsov, Piotr Sworowski (2012)

Czechoslovak Mathematical Journal

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The note is related to a recently published paper J. M. Park, J. J. Oh, C.-G. Park, D. H. Lee: The AP-Denjoy and AP-Henstock integrals. Czech. Math. J. 57 (2007), 689–696, which concerns a descriptive characterization of the approximate Kurzweil-Henstock integral. We bring to attention known results which are stronger than those contained in the aforementioned work. We show that some of them can be formulated in terms of a derivation basis defined by a local system of which the approximate...

Variational measures in the theory of the integration in ℝ m

Luisa Di Piazza (2001)

Czechoslovak Mathematical Journal

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We study properties of variational measures associated with certain conditionally convergent integrals in ℝ m . In particular we give a full descriptive characterization of these integrals.