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February 14th, 2012, 11:22 AM   #1
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Showing a Function is Convex

My homework question is to show that the following function is strictly convex. I'm not asking someone to work it out for me, but how do I show it... if I take all second derivatives, this gives me a function for each. Help!

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February 15th, 2012, 11:44 AM   #2
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Re: Showing a Function is Convex

Let g and h be strictly convex functions an g increasing. You can easily show that their combination goh is also strictly convex.
In this case and .
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February 16th, 2012, 06:47 AM   #3
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Re: Showing a Function is Convex

Just in case it's not clear, goh means g(h(x)). The o is function composition.
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