Wednesday, 1 October 2014

calculus - Prove that the sum of convex functions is again convex.

I have to prove that the sum of convex functions is again convex.
I know the definition of convex function: f(tx1+(1t)x2)tf(x1)+(1t)f(x2) - this the first convex function, then I have the second one g(tx1+(1t)x2)tg(x1)+(1t)g(x2)



What should I do next? Thank you for your help and time.

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