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Quasiconvex function
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Mathematics
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Mathematical analysis
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Real analysis
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A
function \(
f
: \mathbb{
R
}^
n
\to \mathbb{
R
} \) is called quasiconvex if, for any two points \(
x
,
y
\in \mathbb{
R
}^
n
\) and for any \( \lambda \in [
0
,
1] \)
, the following condition holds: \[
f
(\lambda
x
+ (
1
- \lambda)
y
) \leq \max(
f
(
x)
,
f
(
y))
.
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Real analysis
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