L1 convergence: Difference between revisions

Latest revision as of 04:08, 19 December 2020

We say $f_{n}\rightarrow f$ in $L^{1}(\mu )$ if $\int |f_{n}-f|d\mu \to 0$ as $n\to \infty$ .

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	==Definition==		==Definition==
			We say <math> f_n \rightarrow f </math> in <math> L^1(\mu) </math> if <math> \int \|f_n-f\|d\mu \to 0 </math> as <math> n \to \infty </math>.