Lebesgue integral English

Meaning Lebesgue integral meaning

What does Lebesgue integral mean?

Lebesgue integral noun

— (analysis, singulare tantum, definite, 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 [http://planetmath.org/?method=l2h&from=objects&name=Integral2&op=getobj PlanetMath]).