Sharp estimates for the convergence rate of double Fourier series in terms of orthogonal polynomials in the space L 2((a, b) × (c, d); p(x)q(y))
Sharp estimates are obtained for the convergence rate of double Fourier series in terms of general orthogonal polynomials in some classes of functions and for the Kolmogorov N-widths of these classes. These results find applications in numerical analysis. [PUBLICATION ABSTRACT]
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Veröffentlicht in: | Computational mathematics and mathematical physics 2009-08, Vol.49 (8), p.1298-1302 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | Sharp estimates are obtained for the convergence rate of double Fourier series in terms of general orthogonal polynomials in some classes of functions and for the Kolmogorov N-widths of these classes. These results find applications in numerical analysis. [PUBLICATION ABSTRACT] |
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ISSN: | 0965-5425 1555-6662 |
DOI: | 10.1134/S0965542509080028 |