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Nov 5, 2017 at 1:36 comment added jeq The links to the images all seem to be broken.
Dec 26, 2010 at 2:32 comment added timur For instance, if you are integrating this function against another function it is better to use the oscillating nature than to bound it by absolute value. It looks very similar to the Dirichlet kernel.
Dec 26, 2010 at 2:04 comment added fedja Now, why do you want to bound it by a "simpler" function (clearly, it is assumed to be "simpler" for some particular purpose but until we know what that purpose is, it is hard to tell what is helpful and what isn't.)
Dec 26, 2010 at 0:39 comment added J. M. isn't a mathematician Your function can be expressed in terms of the Chebyshev polynomial of the second kind: $$\frac1{n}U_{n-1}(\cos\omega)$$
Dec 25, 2010 at 23:10 comment added Terry Tao en.wikipedia.org/wiki/Dirichlet_kernel
Dec 25, 2010 at 23:04 comment added Leonid Positselski I've removed the irrelevant "triangulated-categories" tag.
Dec 25, 2010 at 22:58 history edited Leonid Positselski
removed the tag "triangulated categories" (which is clearly irrelevant)
Dec 25, 2010 at 18:16 history edited Tiebin Mi CC BY-SA 2.5
deleted 21 characters in body; edited tags
Dec 25, 2010 at 18:03 history edited Tiebin Mi CC BY-SA 2.5
added 472 characters in body; edited tags
Dec 25, 2010 at 17:40 history edited Yemon Choi
removed irrelevant triangulated-categories tag
Dec 25, 2010 at 17:35 history edited Tiebin Mi CC BY-SA 2.5
added 4 characters in body; deleted 56 characters in body
Dec 25, 2010 at 17:21 history asked Tiebin Mi CC BY-SA 2.5