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

Convergence of Fourier Series

  1. Sep 23, 2011 #1
    Okay, so I didn't really understand the professor when he talked about the speed of convergence of Fourier series. The question is what kind of functions converge faster than what kind of other functions using Fourier series representation. My guess from what I have absorbed is that functions with the least continuity and resembles a cosine function the most converges the fastest. Obviously this is not entirely right, and I would like more explanation on this matter.

    Thank you.

    P.S. How does Gibb's phenomenon tie into the convergence of Fourier series. My guess from what I know is that functions that converge slower will have a higher Gibb's "overshoot".
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Convergence of Fourier Series
  1. Fourier series (Replies: 1)

  2. Fourier Series (Replies: 1)

Loading...