## 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)].

### MSC:

 26A39 Denjoy and Perron integrals, other special integrals

Zbl 0732.26012
Full Text:

### References:

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