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Topic: Generalized Cauchy-Schwarz
Replies: 7   Last Post: Apr 13, 2012 3:09 PM

 Messages: [ Previous | Next ]
 Kaba Posts: 289 Registered: 5/23/11
Re: Generalized Cauchy-Schwarz
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

Date Subject Author
4/11/12 Kaba
4/11/12 Kaba
4/11/12 Kaba
4/12/12 Kaba
4/13/12 Kaba
4/13/12 Kaba
4/13/12 Kaba
4/11/12 Kaba