The approximation of functions by partial sums of the Fourier series in polynomials orthogonal on arbitrary grids

DOI10.3103/S1066369X20040064OpenAlexW3023187213MaRDI QIDQ2191893

A. A. Nurmagomedov

Publication date: 26 June 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x20040064

zbMATH Keywords

asymptotic formulapolynomialLebesgue functionorthogonal systemdiscrete Fourier sums

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Probabilistic methods, stochastic differential equations (65Cxx) Probability theory on algebraic and topological structures (60Bxx)

Related Items (1)

Approximation of functions by discrete Fourier sums in polynomials orthogonal on a nonuniform grid with Jacobi weight

Cites Work

• A complete description of the Lebesgue functions for classical Lagrange interpolation polynomials
• Convergence of the method of least squares
• Convergence of Fourier sums in polynomials orthogonal on arbitrary grids
• Boundedness in $ C\lbrack-1,1\rbrack$ of the de la Vallée-Poussin means for discrete Chebyshev-Fourier sums
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