EDB — 186

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E9

[186] Prerequisites:[10C],[109],[184].Difficulty:*.

Let \(C⊂ ℝ^ n\) be an open convex set, and \(f:C→ℝ\) a convex function, show that \(f\) is continuous.
Note:In the case of dimension \(n=1\), the proof is much easier, see [18M].

Solution 1

[187]

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