# Denjoy-Perron integral

From Encyclopedia of Mathematics

A generalization of the Lebesgue integral. The narrow Denjoy integral (see Denjoy integral) is equivalent to the Perron integral. Denjoy–Perron integrability is equivalent to Henstock integrability or Kurzweil–Henstock integrability (cf. also Kurzweil–Henstock integral).

**How to Cite This Entry:**

Denjoy-Perron integral.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Denjoy-Perron_integral&oldid=16580

This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article