Continuum sums -- a big problem and some interesting observations

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Continuum sums -- a big problem and some interesting observations

Ansus

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Posts: 22
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#15

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.

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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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