June 28th, 2012, 04:06 AM  #1 
Senior Member Joined: Apr 2012 Posts: 106 Thanks: 0  Convex set, convex function Let's have a convex function . We need to prove that is a convex set. Any help would be appreciated. 
June 30th, 2012, 03:57 PM  #2 
Member Joined: Jun 2012 From: Uzbekistan Posts: 59 Thanks: 0  Re: Convex set, convex function
Let and . Then and . We have: . As is convex so . Thereby , i.e. convex set. 

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convex, function, set 
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