approximating functionals in orthogonal polynomial expansions

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1 total messages Started by Surya N Kavuri Thu, 27 Aug 1992 15:42

#358

Author: Surya N Kavuri
Date: Thu, 27 Aug 1992 15:42

19 lines
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  I want to expand f in terms of x1,x2,.....

  For this I need compute (f, xi).  This should be ok if I have
  f in a closed form.  What if I know f only at some arbitrary
  points ? The only approxmation scheme I know is that of       
  quadrature and they don't apply for functions with values 
  at arbitrary points.

        
  Carrying in the same vein, any approximations for fourier
  expansions in sines and cosines when the function is not 
  available at equally spaced points ?


 Thanks


 Surya Kavuri

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