Valentin A. Skvortsov, Piotr Sworowski (2006)
Mathematica Bohemica
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Some observations concerning McShane type integrals are collected. In particular, a simple construction of continuous major/minor functions for a McShane integrand in is given.
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.
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...
Piotr Sworowski (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Krzysztof Ostaszewski (1993)
Acta Mathematica et Informatica Universitatis Ostraviensis
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