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Keywords:
totalization; Kurzweil-Henstock integral; primitive
totalization; Kurzweil-Henstock integral; primitive
Summary:
In this paper a full totalization is presented of the Kurzweil-Henstock integral in the multidimensional space. A residual function of the total Kurzweil-Henstock primitive is defined.
References:
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[3] Cabral, E., Lee, P.-Y.: The primitive of a Kurzweil-Henstock integrable function in multidimensional space. Real Anal. Exch. 27 (2002), 627-634. DOI 10.14321/realanalexch.27.2.0627 | MR 1922673 | Zbl 1069.26013
[4] Gordon, R. A.: The Integrals of Lebesgue, Denjoy, Perron and Henstock. Graduate Studies in Mathematics, Vol. 4, American Mathematical Society (AMS), Providence (1994). DOI 10.1090/gsm/004/09 | MR 1288751 | Zbl 0807.26004
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