If $f_1, f_2,\dots$ is a sequence of nonnegative measurable functions in a measure space$X$ then $$ \int_X \liminf_{n\rightarrow\infty} f_n \leq \liminf_{n\rightarrow\infty}\int_X f_n $$
This is version 3 of Fatou's lemma, born on 2002-12-07, modified 2002-12-07.
Object id is 3678, canonical name is FatousLemma.
Accessed 18601 times total.
28A20 (Measure and integration :: Classical measure theory :: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence)
