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 Continuum sums -- a big problem and some interesting observations Ansus Junior Fellow Posts: 20 Threads: 5 Joined: Aug 2008 10/12/2010, 04:41 AM (This post was last modified: 10/12/2010, 04:56 AM by Ansus.) (10/11/2010, 11:46 PM)mike3 Wrote: Consider $f(x) = \frac{\sin\left(x^2\right)}{x^2}$. If we apply Mueller's formula to this at the real axis we get a reals-only continuum sum that is not analytic anywhere, heck, it may not even be real-differentiable anywhere(!). Why do you think this function should have good, analytic, differentiable continuous sum? I think it should not regardles of the method used. It is really bad function for continuous summation. « Next Oldest | Next Newest »

 Messages In This Thread Continuum sums -- a big problem and some interesting observations - by mike3 - 10/05/2010, 11:40 AM RE: Continuum sums -- a big problem and some interesting observations - by tommy1729 - 10/05/2010, 11:33 PM RE: Continuum sums -- a big problem and some interesting observations - by mike3 - 10/06/2010, 03:34 AM RE: Continuum sums -- a big problem and some interesting observations - by tommy1729 - 10/06/2010, 12:44 PM RE: Continuum sums -- a big problem and some interesting observations - by mike3 - 10/07/2010, 04:32 AM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/09/2010, 03:13 PM RE: Continuum sums -- a big problem and some interesting observations - by mike3 - 10/10/2010, 12:58 AM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/09/2010, 05:46 PM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/10/2010, 05:31 AM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/10/2010, 06:06 AM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/10/2010, 08:02 AM RE: Continuum sums -- a big problem and some interesting observations - by mike3 - 10/11/2010, 10:36 AM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/11/2010, 11:33 AM RE: Continuum sums -- a big problem and some interesting observations - by mike3 - 10/11/2010, 11:46 PM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/12/2010, 04:41 AM RE: Continuum sums -- a big problem and some interesting observations - by mike3 - 10/12/2010, 06:44 AM RE: Continuum sums -- a big problem and some interesting observations - by mike3 - 10/12/2010, 06:45 AM RE: Continuum sums -- a big problem and some interesting observations - by Ansus - 10/12/2010, 10:41 AM

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