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[18K]
Prove that a continuous function
f
:
(
a
,
b
)
β
β
is convex if and only if, for every
u
,
v
β
(
a
,
b
)
,
f
(
u
+
v
2
)
β€
f
(
u
)
+
f
(
v
)
2
.
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Authors:
"Mennucci , Andrea C. G."
.
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convex function
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