I want to prove that certain function $F:\Delta\to\mathbb{R}$ is non-negative (or find some counterexample). Where $\Delta$ is the $n$ dimensional simplex.
The details are in the attached document, I include some ideas that i've been working on (I have been trying to prove that the function has a minimum in a point $x^*$, where $F(x^*)=0$).
Felipe Maldonado
Hi Christoph,
It seems a good idea, but I think you have an error in the first equality, when you take the denominator out of the sum.
Anyway, your approach gives me another way to look the problem, and i going to keep trying.
Thanks
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Ovidiu Bagdasar
Hi Felipe! I would expect that some classical inequality might be the solution for your problem.
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