A type of Integral which is an extension of both the Riemann Integral and the Lebesgue Integral. The original Denjoy integral is now called a Denjoy integral ``in the restricted sense,'' and a more general type is now called a Denjoy integral ``in the wider sense.'' The independently discovered Peron Integral turns out to be equivalent to the Denjoy integral ``in the restricted sense.''

**References**

Iyanaga, S. and Kawada, Y. (Eds.). ``Denjoy Integrals.'' §103 in
*Encyclopedic Dictionary of Mathematics.* Cambridge, MA: MIT Press, pp. 337-340, 1980.

Kestelman, H. ``General Denjoy Integral.'' §9.2 in *Modern Theories of Integration, 2nd rev. ed.* New York: Dover, pp. 217-227, 1960.

© 1996-9

1999-05-24