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'Fatou's lemma'
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| Title of object: |
Fatou's lemma |
| Canonical Name: |
FatousLemma |
| Type: |
Theorem |
| Created on: |
2002-12-07 10:35:16.106202-05 |
| Modified on: |
2002-12-07 11:26:45.53114-05 |
| Classification: |
msc:28A20 |
Preamble:
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%\usepackage{psfrag}
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Content:
If $f_1, f_2,\dots$ is a sequence of nonnegative measurable functions in a measure space $X$, then
\[ \int_X \liminf_{n\rightarrow\infty} f_n \leq
\liminf_{n\rightarrow\infty}\int_X f_n \] |
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