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Fatou lemma for series
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Mathematics
Area of mathematics
Analysis
Real analysis
Measure theory
Fatou lemma
2026-09-29
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For nonnegative
numbers
a
n
,
k
,
Fatou lemma
applied to
counting
measure
gives
∑
k
lim
inf
n
→
∞
a
n
,
k
≤
lim
inf
n
→
∞
∑
k
a
n
,
k
.
(1)
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Fatou lemma
Measure theory
Real analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
22I
/
a
/
Solution
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