Boundedness in $ C\lbrack-1,1\rbrack$ of the de la Vallée-Poussin means for discrete Chebyshev-Fourier sums

DOI10.1070/SM1996V187N01ABEH000105zbMath0866.42017OpenAlexW1995014860MaRDI QIDQ3126049

I. I. Sharapudinov

Publication date: 7 July 1997

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

Full work available at URL: https://doi.org/10.1070/sm1996v187n01abeh000105

zbMATH Keywords

Chebyshev polynomialsboundednessorthonormal systemalgebraic polynomialde la Vallée-Poussin meansdiscrete Chebyshev-Fourier sums

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spherical harmonics (33C55) Real polynomials: analytic properties, etc. (26C05)

Related Items (3)

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 ⋮ Approximation Properties of Discrete Fourier Sums in Polynomials Orthogonal on Non-Uniform Grids

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