Two-sided estimates of Fourier sums Lebesgue functions with respect to polynomials orthogonal on nonuniform grids

DOI10.3103/S1063454118030068zbMath1431.42048OpenAlexW2889583879MaRDI QIDQ2289232

N. K. Rasulov, A. A. Nurmagomedov

Publication date: 28 January 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454118030068

zbMATH Keywords

polynomialgridorthogonal systemLebesgue functionsasymptotic relationdiscrete Fourier sums

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

Approximation of functions by discrete Fourier sums in polynomials orthogonal on a nonuniform grid with Jacobi weight ⋮ Approximation Properties of Discrete Fourier Sums in Polynomials Orthogonal on Non-Uniform Grids

Cites Work

• Convergence of the method of least squares
• Convergence of Fourier sums in polynomials orthogonal on arbitrary grids
• Mixed series of Chebyshev polynomials orthogonal on a uniform grid
• Boundedness in $ C\lbrack-1,1\rbrack$ of the de la Vallée-Poussin means for discrete Chebyshev-Fourier sums
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