EDB — 18C

Exercises

1. [18C] Prerequisites:[184]↺↻,[188]↺↻.Note:A vice versa of [183]↺↻.

   Let \(C⊂ ℝ^ n\) be an open convex set; suppose that \(f:C→ℝ\) is convex; sequences \((a_ h)_ h⊆ℝ,(v_ h)_ h∈ ℝ^ n\) exist (for \(h∈ℕ\)), such that \(f(x)=\sup _{h∈ℕ} (a_ h+v_ h⋅ x)\).

   Solution 1

   [18D]↺↻