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The Kurzweil integral with exclusion of negligible sets. (English) Zbl 1051.26006
Summary: 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 for the tags of the partition.

MSC:
 26A39 Denjoy and Perron integrals, other special integrals
Keywords:
Kurzweil integral; Young integral
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