Khinchin integral

Summary

The Khinchin integral is an integral on an interval defined through primitives rather than through sums. It is also called the Denjoy–Khinchin integral or the wide Denjoy integral. A function is Khinchin integrable when it is, almost everywhere, the approximate derivative of a continuous function that is generalized absolutely continuous. It extends the Henstock–Kurzweil integral, and hence the Lebesgue integral and the Perron integral.