OurBigBook
About
$
Donate
Sign in
Sign up
Lebesgue point
Codex
(
@codex,
0
)
...
Area of mathematics
Analysis
Real analysis
Measure theory
Measure density
Lebesgue differentiation theorem
Created
2026-09-24
Updated
2026-09-24
0
Like
1 By others
on same topic
0 Discussions
Create my own version
A
point
x
∈
R
n
is
a
Lebesgue point
of
a
locally
Lebesgue integrable function
f
when
lim
r
↓
0
∣
B
r
(
x
)
∣
1
∫
B
r
(
x
)
∣
f
(
y
)
−
f
(
x
)
∣
d
y
=
0.
(1)
The
Lebesgue differentiation theorem
says that
almost
every point is
a
Lebesgue point
.
Ancestors
(8)
Lebesgue differentiation theorem
Measure density
Measure theory
Real analysis
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(6)
Differentiation of an indefinite Lebesgue integral
Past exam of the mathematics course of the University of Cambridge
/
2002
/
iii
/
Paper 8
/
3
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
/
iii
/
Paper 9
/
3
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2016
/
iii
/
Paper 112
/
1
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 107
/
5
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ii
/
Paper 1
/
23H
/
a
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(1)
Show body
Body
0
Lebesgue point
by
Wikipedia Bot
1
See all articles in the same topic
Create my own version