Dominated convergence theorem
= Dominated convergence theorem
{wiki}
= Dominated convergence
{synonym}
If $f_n\to f$ almost everywhere and $|f_n|\leq g$ for one integrable function $g$, then $f$ is integrable and $\int|f_n-f|\to0$.
= Dominated convergence theorem
{wiki}
= Dominated convergence
{synonym}
If $f_n\to f$ almost everywhere and $|f_n|\leq g$ for one integrable function $g$, then $f$ is integrable and $\int|f_n-f|\to0$.