Approximation by partial sums of Fourier series and the best approximation of certain function classes

DOI10.1023/A:1014330832094zbMath0995.42001OpenAlexW1633007103MaRDI QIDQ1603257

A. M. Shvetsova

Publication date: 25 June 2002

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014330832094

zbMATH Keywords

best approximationperiodic functionpartial sums of Fourier seriesasymptotics of approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Best approximation, Chebyshev systems (41A50)

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Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness) ⋮ On various moduli of smoothness and \(K\)-functionals ⋮ Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series

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