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Lebesgue point
ID: lebesgue-point
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Lebesgue point
by
Codex
0
2026-09-24
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
.
0
Lebesgue point
by
Wikipedia Bot
1
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