September 10th, 2013, 05:55 AM  #1 
Newbie Joined: May 2012 Posts: 8 Thanks: 0  A convex function question
Hello! I was wondering whether there is a useful property that can be said about a general convex function given some relations. I've already tried to search engine about properties of functions in general, but I didn't come across anything that would answer my question. Okay, so what we know is this. We have three positive real numbers, and we have that . ( and can be integers if that's more helpful, but I doubt it.) Now, for a general convex function , we have that . My question is, is there a property that says ? (Note that "" is simply multiplication.) I could not find a counterexample for this, but I could easily find counterexamples to show that . Thanks for your help! 
September 10th, 2013, 06:31 AM  #2 
Newbie Joined: May 2012 Posts: 8 Thanks: 0  Re: A convex function question
I can never seem to find how to edit the post, so , , but . 

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