February 14th, 2012, 11:22 AM  #1 
Member Joined: Mar 2010 Posts: 51 Thanks: 0  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! 
February 15th, 2012, 11:44 AM  #2 
Newbie Joined: Dec 2011 Posts: 15 Thanks: 0  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 . 
February 16th, 2012, 06:47 AM  #3 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  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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