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Uniform Convergence of Fourier Series

  1. Oct 23, 2011 #1
    1. The problem statement, all variables and given/known data
    Find the minimum number required (value of n) for the average deviation of the Fourier Series to fall below 2%


    2. Relevant equations
    Use the Uniform Convergence of Fourier Series.

    Where Sm is the partial sum of the Fourier Series.
    C is constant. Here C is ∏^2

    So,

    2∏^2/M ≤ 0.02 M≥10000 M=10000 series will give a 2.0% error.

    or

    2∏^2/M ≤ 2.0 M≥1000 M=1000 series will give a 2.0% error

    Which of these two attempts is correct?

    Thank you!
     
  2. jcsd
  3. Oct 24, 2011 #2
    Anyone happen to know?

    I'm not sure if 0.02 should represent 2% or if 2 should?

    Thank you
     
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