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Article #358approximating functionals in orthogonal polynomial expansions
From: Surya N Kavuri
Date: Thu, 27 Aug 1992 15:42
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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Path: arc1-ca.pugleaf.net!sparky!uunet!pmafire!news.dell.com!swrinde!zaphod.mps.ohio-state.edu!sample.eng.ohio-state.edu!purdue!mentor.cc.purdue.edu!noose.ecn.purdue.edu!lips2.ecn.purdue.edu!kavuri 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 Sender: news@noose.ecn.purdue.edu (USENET news) Organization: Purdue University Engineering Computer Network Lines: 19