MATHEMATICA BOHEMICA, Vol. 131, No. 1, pp. 11-14, 2006

Kurzweil's PU integral as the Lebesgue integral

Rudolf Vyborny

Rudolf Vyborny, Department of Mathematics, University of Queensland, Brisbane, Qld 4072, Australia, e-mail:

Abstract: For a merely continuous partition of unity the PU integral is the Lebesgue integral.

Keywords: Kurzweil's PU integral, Lebesgue integral, McShane integral

Classification (MSC 2000): 26A39, 26A42, 28A99

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