Approximation of integrable functions by general linear operators of their Fourier series

DOI10.1007/s10114-011-0568-8zbMath1256.42008OpenAlexW1976644580MaRDI QIDQ1757978

Bogdan Szal, Włodzimierz Łenski

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0568-8

zbMATH Keywords

rate of approximationsummability of Fourier series

Mathematics Subject Classification ID

Summability and absolute summability of Fourier and trigonometric series (42A24) Approximation by arbitrary linear expressions (41A45)

Related Items

Approximation of integrable functions by general linear matrix operators of their Fourier series, Trigonometric approximation of functions belonging to certain Lipschitz classes by C¹⋅ T operator, Approximation of \(\tilde{f}\), conjugate function of \(f\) belonging to a subclass of \(L^p \)-space, by product means of conjugate Fourier series

Cites Work

• On the divergence of Nörlund logarithmic means of Walsh-Fourier series
• A sufficient condition for \((F_1)\)-effectiveness of the \(C^1T\)-method
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