MATHEMATICA BOHEMICA, Vol. 128, No. 3, pp. 277-292, 2003

The Kurzweil integral with exclusion
of negligible sets

Pavel Krejci

Pavel Krejci, Mathematical Institute, Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: krejci@math.cas.cz

Abstract: We propose an extended version of the Kurzweil integral which contains both the Young and the Kurzweil integral as special cases. The construction is based on a reduction of the class of $\delta$-fine partitions by excluding small sets.

Keywords: Kurzweil integral, Young integral

Classification (MSC 2000): 26A39

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