- (US) IPA: /ləˈbɛːɡ ˈɪntəɡrəl/, /ləˈbɛːɡ ˈɪntəɡrl̩/ Lebesgue
integral (plural Lebesgue integrals) - (analysis, singular only
(the Lebesgue integral) and countable) An integral which has
more general application than that of the Riemann integral,
because it allows the region of integration to be partitioned
into not just intervals but any measurable sets for which the
function to be integrated has a sufficiently narrow range.
(Formal definitions can be found at PlanetMath). - The Lebesgue
integral is learned in a first-year real-analysis course. -
Compute the Lebesgue integral of f over E. Last modified on 19
June 2013, at 18:42