Lebesgue integral

English

Etymology

Named after French mathematician Henri Lebesgue.

Noun

Lebesgue integral (plural Lebesgue integrals)

  1. (mathematical analysis, singular only) 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.
    Hypernym: integral
    The Lebesgue integral is learned in a first-year real-analysis course.
    Compute the Lebesgue integral of f over E.

Translations

Translations
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