1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


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


    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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook