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Hölder's inequality
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Mathematics
Area of mathematics
Analysis
Real analysis
Lp norm
2026-09-24
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For
conjugate exponents
p
,
q
∈
[
1
,
∞
]
,
Hölder's inequality
states
∥
f
g
∥
1
≤
∥
f
∥
p
∥
g
∥
q
. For finite
vectors
, the case
p
=
1
,
q
=
∞
is
∣
x
T
y
∣
≤
∥
x
∥
1
∥
y
∥
∞
.
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Lp norm
Real analysis
Analysis
Area of mathematics
Mathematics
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Hölder's inequality
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 205
/
3
/
b
/
Solution
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