Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Error in Fourier series

  1. Oct 5, 2014 #1
    Does anyone know how to calculate the error between a function and its Fourier series representation as a function of the partial sums of the series? So far I haven't been able to find anything in the literature that talks about this.

    I'm also interested in looking at how well a Fourier series can approximate angles. My guess is that the error approaches a non-zero value at the angle as you take an infinite number of terms because every term in a Fourier series is smooth and continuous. I just stumbled across the Gibbs phenomenon after a Google search, so I'll be looking into that. But if anyone has anything else to add, I'd appreciate it.

    Thanks in advance.
  2. jcsd
  3. Oct 5, 2014 #2


    User Avatar
    Science Advisor

    Approximate angles? The Gibbs phenomenom occurs where the function is discontinuous.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Error in Fourier series
  1. Fourier Series (Replies: 3)

  2. Fourier Series (Replies: 1)

  3. Fourier Series (Replies: 1)

  4. Fourier series (Replies: 1)

  5. Fourier Series (Replies: 1)