Category:Integral of Bounded Measurable Function with respect to Finite Signed Measure
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This category contains results about Integral of Bounded Measurable Function with respect to Finite Signed Measure.
Let $\struct {X, \Sigma}$ be a measurable space.
Let $f : X \to \R$ be a bounded $\Sigma$-measurable function.
Let $\mu$ be a finite signed measure on $\struct {X, \Sigma}$.
Let $\tuple {\mu^+, \mu^-}$ be the Jordan decomposition of $\mu$.
Then the $\mu$-integral of $f$ is defined by:
- $\ds \int f \rd \mu = \int f \rd \mu^+ - \int f \rd \mu^-$
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