Least squares approximations of power series
The classical least squares solutions in C[−1,1] in terms of linear combinations of ultraspherical 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. Mastroi...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/53474 |
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| _version_ | 1832559062481371136 |
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| author | James Guyker |
| author_facet | James Guyker |
| author_sort | James Guyker |
| collection | DOAJ |
| description | The classical least squares solutions in C[−1,1] in terms of linear combinations of ultraspherical 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. |
| format | Article |
| id | doaj-art-26bc6d8a307c4fe398d8112ee74d8cee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-26bc6d8a307c4fe398d8112ee74d8cee2025-02-03T01:30:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5347453474Least squares approximations of power seriesJames Guyker0Department of Mathematics, Buffalo State College (SUNY), 1300 Elmwood Avenue, Buffalo 14222-1095, NY, USAThe classical least squares solutions in C[−1,1] in terms of linear combinations of ultraspherical 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.http://dx.doi.org/10.1155/IJMMS/2006/53474 |
| spellingShingle | James Guyker Least squares approximations of power series International Journal of Mathematics and Mathematical Sciences |
| title | Least squares approximations of power series |
| title_full | Least squares approximations of power series |
| title_fullStr | Least squares approximations of power series |
| title_full_unstemmed | Least squares approximations of power series |
| title_short | Least squares approximations of power series |
| title_sort | least squares approximations of power series |
| url | http://dx.doi.org/10.1155/IJMMS/2006/53474 |
| work_keys_str_mv | AT jamesguyker leastsquaresapproximationsofpowerseries |