Thread: Problem 1.9 View Single Post
#10
04-01-2017, 08:19 AM
 k_sze Member Join Date: Dec 2016 Posts: 12
Re: Problem 1.9

Quote:
 Originally Posted by k_sze *sigh* I did end up getting by substituting for , but only after simplifying all the way down, until there is no more or , otherwise I get two powers of 2 with no obvious way to combine them. So now the remaining hurdle is to prove that . Yay
I finally worked out the proof for . Apparently using Jensen's inequality is supposed to be the simple way, but I simply don't get Jensen's inequality, so I used some brute force calculus (first and second derivatives, find the minimum, etc.)