Suppose that f,..., fm are convex functions from Rn into R and fi(x). let f(x)...

 

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Suppose that f₁,..., fm are convex functions from Rn into R and ₁ fi(x). let f(x) = m 2=1 (a) Show that if each fi is convex, so is f. (b) Show that if each fi is piecewise linear and convex, so is f. Suppose that f₁,..., fm are convex functions from Rn into R and ₁ fi(x). let f(x) = m 2=1 (a) Show that if each fi is convex, so is f. (b) Show that if each fi is piecewise linear and convex, so is f.