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 Post subject: Convex functionsPosted: Wed, 29 Jun 2011 15:24:19 UTC
 S.O.S. Oldtimer

Joined: Thu, 30 Oct 2008 10:47:09 UTC
Posts: 182
1. If f is convex on , then exists.

2. If is convex, then there exists k>0 such that

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 Post subject: Re: Convex functionsPosted: Wed, 29 Jun 2011 17:04:36 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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Beta wrote:
1. If f is convex on , then exists.

2. If is convex, then there exists k>0 such that

1. The limit only exists in , not , e.g. is convex and . Slopes of support lines is nondecreasing, hence limit.

2. Similar to 1.

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