Uniform Convergence of Fourier Series

  • Thread starter ZedCar
  • Start date
  • #1
354
1

Homework Statement


Find the minimum number required (value of n) for the average deviation of the Fourier Series to fall below 2%


Homework 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!
 

Answers and Replies

  • #2
354
1
Anyone happen to know?

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

Thank you
 

Related Threads on Uniform Convergence of Fourier Series

Replies
1
Views
1K
Replies
3
Views
3K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
965
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
2K
Replies
0
Views
1K
Top