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Title: Kurzweil’s PU integral as the Lebesgue integral (English)
Author: Výborný, Rudolf
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 131
Issue: 1
Year: 2006
Pages: 11-14
Summary lang: English
Category: math
Summary: For a merely continuous partition of unity the PU integral is the Lebesgue integral. (English)
Keyword: Kurzweil’s PU integral
Keyword: Lebesgue integral
Keyword: McShane integral
MSC: 26A39
MSC: 26A42
MSC: 28A99
idZBL: Zbl 1112.26013
idMR: MR2210999
DOI: 10.21136/MB.2006.134077
Date available: 2009-09-24T22:23:35Z
Last updated: 2020-07-29
Stable URL:
Reference: [1] Russel A. Gordon: The Integrals of Lebesgue, Denjoy, Perron, and Henstock.American Mathematical Society, 1994. MR 1288751
Reference: [2] J. Kurzweil, J. Jarník: A non absolutely convergent integral which admits transformation and can be used on manifolds.Czechoslovak Math. J. 35 (1985), 116–139. MR 0779340
Reference: [3] J. Kurzweil, J. Jarník: A new and more powerful concept of the PU integral.Czechoslovak Math. J. 38 (1988), 8–48. MR 0925939
Reference: [4] J. Kurzweil, J. Mawhin, W. Pfeffer: An integral defined by approximating BV partitions of unity.Czechoslovak Math. J. 41 (1991), 695–712. MR 1134958
Reference: [5] Lee, Peng Yee, Rudolf Výborný: The Integral: An Easy Approach after Kurzweil and Henstock.Cambridge University Press, Cambridge, UK, 2000. MR 1756319


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