Category:Scheffé's Lemma
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This category contains pages concerning Scheffé's Lemma:
Let $\struct {X, \Sigma, \mu}$ be a measure space.
Let $f_n$ be a sequence of $\mu$-integrable functions that converge almost everywhere to another $\mu$-integrable function $f$.
Then $f_n$ converges to $f$ in $L^1$ if and only if $\ds \int_X \size {f_n} \rd \mu$ converges to $\ds \int_X \size f \rd \mu$.
Pages in category "Scheffé's Lemma"
The following 2 pages are in this category, out of 2 total.