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(b) Let f:RnR be such that: - f is a convex function - f is Lipschitz-continuous with Lipschitz constant 2 3 Show that, for all

(b) Let f:RnR be such that: - f is a convex function - f is Lipschitz-continuous with Lipschitz constant 2 3 Show that, for all x,yRn, 1f(x)f(y)22f(y)f(x)f(x)(yx)yx2 What can you comment about f in this case? (4 marks)

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