Talk:Popoviciu's inequality
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Preliminary/Disambiguation thing
[edit]What is 'For a more general discussion, see Bookmaker and Odds.' doing here ?! --Hu5k3rDu (talk) 21:54, 19 February 2018 (UTC)
Converse
[edit]"Conversely, if f is continuous, then it is convex only if the above inequality holds for all x, y, z from I."
This, of course, is not the converse, but just the statement of Popoviciu's inequality. The converse is "if" rather than "only if". But I am not sure whether this converse is true actually (the proof in Niculescu/Persson does not convince me). Darij (talk) 00:49, 21 February 2011 (UTC)
- Oops. Indeed; I've fixed it now. Thanks. As for the proof, I haven't checked it... where's the problem, though? Shreevatsa (talk) 05:10, 21 February 2011 (UTC)
- It's the "verbatim" part. I have no clue how it is supposed to follow "verbatim the argument of Theorem 1.1.4 above". -- Darij (talk) 17:32, 22 February 2011 (UTC)