[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]↺↻.
[187]↺↻