An integral defined by approximating \(BV\) partitions of unity. (English) Zbl 0763.26007

The divergence theorem for the Kurzweil-Henstock integral has been investigated independently by the three authors. This is the latest paper on the subject combining the idea of the \(PU\) integral by Kurzweil (where \(PU\) stands for the partitions of unity) and the \(BV\) sets by Pfeffer. Hence they have produced the best version of the divergence theorem for the Kurzweil-Henstock integal so far. For the \(PU\) integral, see J. Kurzweil and J. Jarník [Lect. Notes Math. 1419, 66-81 (1990; Zbl 0732.26012)].


26A39 Denjoy and Perron integrals, other special integrals


Zbl 0732.26012
Full Text: EuDML


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