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June 13th, 2013, 04:59 AM   #1
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Finding multiplication coefficients for continuous functions

Hi everyone, I have the following problem:

Assume continuous, periodic functions in the continuous interval .

Intu´tively it should be possible to find coefficients so that with R a real positive constant, and so that is minimal.

For values of and this is trivial, but is there an analytic way of solving this problem for ?

I'm not good at math, so my apologies if the problem would be extremely straight forward. Thanks in advance for any constructive reactions!
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