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
Hauptverfasser: Abilov, V. A., Kerimov, M. K.
Format: Artikel
Sprache:eng
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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]
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542509080028