On the Relation between Denjoy–Khintchine and -Integrals.

We locate Musial and Sagher's concept of -integration within the approximate Henstock–Kurzweil integral theory. If we restrict the -integral by the requirement that the indefinite -integral is continuous, then it becomes included in the classical Denjoy–Khintchine integral. We provide a direct argument demonstrating that this inclusion is proper. [ABSTRACT FROM AUTHOR]