Timeline for Prove that $ \int_{\mathbb R} g(x)d\mu(x)=\int_{\mathbb R} g(x)f(x)dx. $
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| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 16, 2019 at 16:36 | comment | added | Bach | @SeanNemetz I did not... should have realized this earlier... | |
| Jun 16, 2019 at 16:31 | vote | accept | Bach | ||
| Jun 16, 2019 at 16:27 | answer | added | carmichael561 | timeline score: 2 | |
| Jun 16, 2019 at 16:24 | comment | added | Sean Nemetz | Have you tried proving this statement for $g$ defined on finite intervals? | |
| Jun 16, 2019 at 16:22 | comment | added | Bach | @carmichael561 Sorry, I didn't make this clear enough. Yes, the monotone convergence thm, dominated convergence thm, Fatou's lemma are counted. | |
| Jun 16, 2019 at 16:20 | comment | added | carmichael561 | What counts as "basic Lebesgue-integral theory"? E.g. is the monotone convergence theorem allowed? | |
| Jun 16, 2019 at 16:11 | history | asked | Bach | CC BY-SA 4.0 |