Least squares approximations of power series

James Guyker

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-20

Abstract:

The classical least squares solutions in C [ − 1 , 1 ] in terms of linear combinations of ultraspherical polynomials are extended inorder to estimate power series on ( − 1 , 1 ). Approximate rates ofuniform and pointwise convergence are obtained, which correspond torecent results of U. Luther and G. Mastroianni on Fourierprojections with respect to Jacobi polynomials.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:053474

DOI: 10.1155/IJMMS/2006/53474

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