Category:Definitions/Lebesgue Integrals

This category contains definitions related to Lebesgue Integrals.
Related results can be found in Category:Lebesgue Integrals.

Let $\lambda^n$ be a Lebesgue measure on $\R^n$.

Let $f: \R^n \to \overline \R$ be a Lebesgue integrable function.

Then the $\lambda^n$-integral of $f$:

$\ds \int f \rd \lambda^n$

is called the Lebesgue integral of $f$.