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May 6, 2015 at 21:27 vote accept David S-D
Jul 26, 2010 at 12:54 answer added Noah Stein timeline score: 6
Jul 25, 2010 at 13:23 comment added David S-D The f_i are not polynomials, but become polynomials asymptotically as y -> infinity. Thus, it's easy to check positivity at infinity by just examining leading coefficients in the asymptotic polynomials. In practice, I've found that checking positivity on some large interval, say [2, 50), along with asymptotic positivity, tends to be enough in my case. So for simplicity, feel free to replace the constraints above with those. What do you mean by "semidefinite program"?
Jul 25, 2010 at 7:12 answer added Gilead timeline score: 2
Jul 25, 2010 at 3:02 comment added Noah Stein If so I think you can turn this into a semidefinite program.
Jul 25, 2010 at 2:59 comment added Noah Stein Are your $f_i$ by any chance polynomials?
Jul 25, 2010 at 2:00 comment added fedja You should really tell more about your functions. Otherwise I do not even see how you are going to check that $F\ge 0$ on $[2,+\infty)$ in finite time for some fixed set of coefficients...
Jul 24, 2010 at 23:54 history asked David S-D CC BY-SA 2.5