Weierstrass Fourier

  • #1
Hi, I am reading numerical analysis and I am very interested in Weierstrass Theorem and Fourier analysis. I want to know what are the similarities and the differences using polynomial approximation and fourier aproximation for a function and which approximation converge faster and better to a function?
I need much help on this, I can't find yet anything.
 

Answers and Replies

  • #2
mathman
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There is no simple answer. It depends very much on the application of interest.
 
  • #3
The application of interest is on approximation of functions of one variable.
 
  • #4
mathman
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Are you concerned with finite or infinite domain? Are the functions continuous? What is the metric used to define the approximation? There may be other questions as well.
 
  • #5
with finite domain, continuous functions and the Euclidean metric.
 
  • #6
mathman
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Last edited:

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