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Lebesgue differentiation theorem
...
Mathematics
Area of mathematics
Analysis
Real analysis
Measure theory
Measure density
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Words: 62
Articles: 2
If
f
is locally
Lebesgue integrable
on
R
n
, then for
Lebesgue almost every
x
,
lim
r
↓
0
∣
B
r
(
x
)
∣
1
∫
B
r
(
x
)
f
(
y
)
d
y
=
f
(
x
)
.
(370)
Table of contents
62
2
Lebesgue point
Lebesgue differentiation theorem
25
Differentiation of an indefinite Lebesgue integral
Lebesgue differentiation theorem
19
Ancestors
(7)
Measure density
Measure theory
Real analysis
Analysis
Area of mathematics
Mathematics
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(5)
Gaussian approximate identity
Lebesgue point
Lebesgue-Stieltjes measure
Solution
Solution