On an improvement of the Hake theorem. (English) Zbl 0967.26007

A new proof is given showing that the narrow Denjoy integral is equivalent to the Perron integral. The method of proving this classical result is based on Lusin’s Theorem and on a result of Tolstoff and Zahorski and it is less technical in comparison with the known classical proofs.


26A39 Denjoy and Perron integrals, other special integrals