scientific article; zbMATH DE number 2097028
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Publication:4811808
zbMath1048.42026MaRDI QIDQ4811808
Publication date: 6 September 2004
Full work available at URL: https://eudml.org/doc/50982
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normbest approximationorthonormal systemJacobi polynomialde la Vallée Poussin meandiscrete setGauss quadrature formulaChristoffel numberdiscrete Fourier-Jacobi sum
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50) Approximate quadratures (41A55)
Related Items (8)
The approximation of functions by partial sums of the Fourier series in polynomials orthogonal on arbitrary grids ⋮ Approximation of analytic functions by universal Vallee-Poussin sums on the Chebyshev polynomials ⋮ On the approximation of continuous functions of two variables ⋮ Convergence of Fourier sums in polynomials orthogonal on arbitrary grids ⋮ Uniform approximation on \([-1,1\) via discrete de la Vallée Poussin means] ⋮ On the filtered polynomial interpolation at Chebyshev nodes ⋮ Two-sided estimates of Fourier sums Lebesgue functions with respect to polynomials orthogonal on nonuniform grids ⋮ Approximation Properties of Discrete Fourier Sums in Polynomials Orthogonal on Non-Uniform Grids
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