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Article #358

approximating functionals in orthogonal polynomial expansions

#358
From: Surya N Kavuri
Date: Thu, 27 Aug 1992 15:42
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1089 bytes
  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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From: kavuri@lips2.ecn.purdue.edu (Surya N Kavuri )
Newsgroups: sci.math.num-analysis
Subject: approximating functionals in orthogonal polynomial expansions
Message-ID: <1992Aug27.154239.23810@noose.ecn.purdue.edu>
Date: 27 Aug 92 15:42:39 GMT
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Organization: Purdue University Engineering Computer Network
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