Least squares approximations of power series

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Least squares approximations of power series

The classical least squares solutions in C[−1,1] in terms of linear combinations of ul-traspherical polynomials are extended in order to estimate power series on (−1,1). Approximate rates of uniform and pointwise convergence are obtained, which correspond to recent results of U. Luther and G. Mastroianni on Fourier projections with respect to Jacobi polynomials.

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2006

ISSN: 0161-1712,1687-0425

DOI: 10.1155/ijmms/2006/53474