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Topic:
Generalized CauchySchwarz
Replies:
7
Last Post:
Apr 13, 2012 3:09 PM



Kaba
Posts:
289
Registered:
5/23/11


Re: Generalized CauchySchwarz
Posted:
Apr 13, 2012 3:09 PM


Kaba wrote: > It holds that x / f(x) = 1 = y / f(y). Thus they are both in the > sublevel set where f(x) <= 1. The equation above shows that their convex > combination is in the same sublevel set. Multiplying both sides with > beta in R, beta >= 0 shows that this holds for all sublevel sets. > Therefore f is quasiconvex.
The result is true, but I think the proof given here is erroneous. Anyway, to anyone interested, I summarized the contents of this thread to my blog:
http://kaba.hilvi.org/blog/?p=450
 http://kaba.hilvi.org



