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Weierstrass Fourier

  1. Nov 23, 2011 #1
    Hi, I am reading numerical analysis and I am very interested in Weierstrass Theorem and Fourier analysis. I want to know what are the similarities and the differences using polynomial approximation and fourier aproximation for a function and which approximation converge faster and better to a function?
    I need much help on this, I can't find yet anything.
     
  2. jcsd
  3. Nov 23, 2011 #2

    mathman

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    There is no simple answer. It depends very much on the application of interest.
     
  4. Nov 24, 2011 #3
    The application of interest is on approximation of functions of one variable.
     
  5. Nov 24, 2011 #4

    mathman

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    Are you concerned with finite or infinite domain? Are the functions continuous? What is the metric used to define the approximation? There may be other questions as well.
     
  6. Nov 24, 2011 #5
    with finite domain, continuous functions and the Euclidean metric.
     
  7. Nov 25, 2011 #6

    mathman

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    Last edited: Nov 25, 2011
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