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Question 2. Consider f to be a convex function, 1>0,i0 for i=2,,n and ii=1. Let dom(f) be affine, and for x1,,xndom(f), show that the inequality

Question 2. Consider f to be a convex function, 1>0,i0 for i=2,,n and ii=1. Let dom(f) be affine, and for x1,,xndom(f), show that the inequality always holds: f(i=1nixi)i=1nif(xi)

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