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mathematical analysis > calculus > integral calculus > Lebesgue integral
mathematical analysis > real analysis > Lebesgue integral
... > algebra > linear algebra > vector space > topological vector space > normed vector space > Banach space > Lp space > Lebesgue integral
mathematical analysis > functional analysis > function space > Lp space > Lebesgue integral
set theory > function space > Lp space > Lebesgue integral
algebra > linear algebra > function space > Lp space > Lebesgue integral
category theory > function space > Lp space > Lebesgue integral
probability theory > measure theory > Lp space > Lebesgue integral

Preferred term

Lebesgue integral  

Definition

  • In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the X axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, extends the integral to a larger class of functions. It also extends the domains on which these functions can be defined.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Lebesgue_integration)

Broader concept

Entry terms

  • Lebesgue integration

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-G3CCVN0R-P

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