Pointwise approximation of functions from \(L^p(w)_\beta\) by linear operators of their Fourier series

DOI10.1155/2012/930967zbMath1232.41026OpenAlexW2005421748WikidataQ58908783 ScholiaQ58908783MaRDI QIDQ657339

Bogdan Szal, Włodzimierz Łenski

Publication date: 16 January 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/930967

zbMATH Keywords

rate of pointwise approximationmatrix summability meansnorm approximations

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

Trigonometric approximation of functions belonging to certain Lipschitz classes by C¹⋅ T operator ⋮ On the degree of approximation of continuous functions by a specific transform of partial sums of their Fourier series ⋮ Approximation of conjugate of functions belonging to weighted Lipschitz class \(W(L^{p},\xi(t))\) by Hausdorff means of conjugate Fourier series

Cites Work

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• On the degree of approximation of continuous functions
• Approximation of functions belonging to the generalized Lipschitz class by \(C^1 \cdot N_p\) summability method of Fourier series
• Approximation of functions from L^p(\widetildeω)_βby linear operators of conjugate Fourier series

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