Convergence of Fourier sums in polynomials orthogonal on arbitrary grids

DOI10.3103/S1066369X12070080zbMath1254.42035MaRDI QIDQ1759303

A. A. Nurmagomedov

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceasymptotic formulapolynomialweightgridorthogonal systemweighted estimateFourier sum

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Related Items (5)

Approximation of functions by discrete Fourier sums in polynomials orthogonal on a nonuniform grid with Jacobi weight ⋮ The approximation of functions by partial sums of the Fourier series in polynomials orthogonal on arbitrary grids ⋮ Two-sided estimates of Fourier sums Lebesgue functions with respect to polynomials orthogonal on nonuniform grids ⋮ On the convergence of the least square method in case of non-uniform grids ⋮ Approximation Properties of Discrete Fourier Sums in Polynomials Orthogonal on Non-Uniform Grids

Cites Work

• A complete description of the Lebesgue functions for classical Lagrange interpolation polynomials
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