EDB β€” 19D

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Definition 56

[19D] A closed convex set \(AβŠ‚ {\mathbb {R}}^ n\) is said strictly convex if, for every \(x,y∈ A\) with \(xβ‰  y\) and every \(t∈ (0,1)\) you have

\[ (tx+(1-t)y)∈ {{A}^\circ }\quad . \]

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  • convex set, strictly ---
  • convex function
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