An investigation of bivariate approximations Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/d504rq07c

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  • The three important methods of approximation; interpolation, least- squares, and Chebyshev, are extended into bivariate approximations. A method of obtaining polynomial approximations for very general classes of bivariate samples is developed. Bivariate least - square approximations are reviewed and a method of developing bibariate orthogonal sequence is derived. A method of obtaining bivariate Chebyshev approximations is introduced with proofs that many of the important properties of the univariate Chebyshev approximation carry over into the bivariate case. Finally, a practical method of obtaining univariate or bivariate approximations to polynomials through the use of compiled tables of weights is developed, along with the necessary tables for Chebyshev or least- square approximations.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-14T21:37:49Z (GMT) No. of bitstreams: 1 BillsGaryR1968.pdf: 351530 bytes, checksum: 333c69f1acae8be4f5ec6496d02a2392 (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-15T19:26:43Z (GMT) No. of bitstreams: 1 BillsGaryR1968.pdf: 351530 bytes, checksum: 333c69f1acae8be4f5ec6496d02a2392 (MD5)

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