Results 1 to 5 of 5

Math Help - fourier analysis

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    23

    fourier analysis

    Hello,

    Does anybody please know how to solve this problem

    P10.jpg picture by peacefulsoul1 - Photobucket

    i added the definition of f hat
    f hat definition picture by peacefulsoul1 - Photobucket

    thank you so much
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Apr 2009
    From
    México
    Posts
    721
    Integrate by parts to see that the term by term differentiation of the Fourier series for f is the series for f', use induction and Riemann Lebesgue for the k-th derivative series.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2011
    Posts
    23
    thank you for the advice, let me try doing this now and get back to you in few minutes, and pretty sure ill be stuck somewhere please wait for me
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2011
    Posts
    23
    i was able to do this the proof for k =2 which is the following :

    d.jpg picture by peacefulsoul1 - Photobucket

    here is my work :

    2.jpg picture by peacefulsoul1 - Photobucket

    how do i proceed ? without using "Riemann Lebesgue" because we have not taken it :S
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    Joined
    Apr 2009
    From
    México
    Posts
    721
    Your method is fine and more elementary than what I was suggesting, now just apply the same procedure k times (there's no reason to stop at two, everything works the same).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Fourier Analysis
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 6th 2011, 05:49 AM
  2. fourier analysis
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: August 18th 2010, 04:21 AM
  3. Some Fourier Analysis
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 16th 2010, 06:11 AM
  4. Fourier analysis
    Posted in the Calculus Forum
    Replies: 6
    Last Post: December 7th 2008, 07:41 AM
  5. Fourier analysis
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 28th 2006, 02:20 PM

Search Tags


/mathhelpforum @mathhelpforum