|Nov14-12, 09:40 AM||#1|
Convexity of a function I don't understand
I am starting to learn real math I would say for first time in life. I have come across this function:
f(x) = maxi(xi) - mini(xi)
Does the above function mean f(x) = 0 since for for x in R max and min of x would be x itself.
Hence it is convex as for any θ ≥ 0 we can write:
θ.x + (1-θ).y = 0 ≤ f(θ.x + (1-θ).y) f(θ.x + (1-θ).y) = 0
Thanks for helping me learn.
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