If is a sequence of nonnegative measurable functions, then
(1)
|
An example of a sequence of functions for which the inequality becomes strict is given by
(2)
|
If is a sequence of nonnegative measurable functions, then
(1)
|
An example of a sequence of functions for which the inequality becomes strict is given by
(2)
|
Weisstein, Eric W. "Fatou's Lemma." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FatousLemma.html