Approximation of continuous functions by \(T\)-means of Fourier series

DOI10.1016/0021-9045(90)90082-2zbMath0741.42001OpenAlexW2056046412MaRDI QIDQ1812859

Vilmos Totik, S. M. Mazhar

Publication date: 25 June 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90082-2

zbMATH Keywords

Fourier seriesconjugate functiondegree of approximationsummability matrix\(T\)-means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Summability and absolute summability of Fourier and trigonometric series (42A24) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (6)

Degree of approximation of functions by their Fourier series in the generalized Hölder metric ⋮ A note on the degree of approximation by matrix means in the generalized Hölder metric ⋮ Degree of approximation in the space \(H^\omega_p\) by the even-type delayed arithmetic mean of Fourier series ⋮ An estimate of the rate of convergence of Fourier series in the generalized Hölder metric by deferred Cesàro mean ⋮ A new trigonometric method of summation and its application to the degree of approximation ⋮ Applications of general monotone sequences to strong approximation by Fourier series

Cites Work

• On the strong approximation by the (\(C,\alpha\))-means of Fourier series. I
• On the strong approximation of Fourier series
• Über die Approximation im starken Sinne
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximation of continuous functions by \(T\)-means of Fourier series