Approximations of functions in the uniform metric by Fourier sums of orthogonal polynomials

zbMath0458.42021MaRDI QIDQ1151545

V. M. Badkov

Publication date: 1981

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulas for the Lebesgue functionsequiconvergence of Fourier seriesorthogonal trigonometric polynomials and polynomials orthogonal on a circumferenceupper bounds for the deviations of the Fourier sums

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15)

Related Items (3)

Determination of the jumps of a bounded function by its Fourier series ⋮ Determination of a jump by conjugate Fourier-Jacobi series ⋮ Uniform convergence of Fourier--Jacobi series.

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