On the trigonometric approximation of the generalized weighted Lipschitz class

DOI10.1016/J.AMC.2014.09.048zbMath1338.41018OpenAlexW1989901378MaRDI QIDQ297887

Ren-Jiang Zhang

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.048

zbMATH Keywords

Fourier seriesdegree of approximationperiodic function\(W(L^r, \xi(t))(r \geqslant 1)\)-classFourier approximation

Mathematics Subject Classification ID

Approximation by arbitrary linear expressions (41A45)

Related Items (1)

On the trigonometric approximation of functions in a weighted Lipschitz class

Cites Work

• On the trigonometric approximation of signals belonging to generalized weighted Lipschitz \(W(L^r,\xi(t))(r\geqslant 1)\)-class by matrix \((C^1\cdot N_p)\) operator of conjugate series of its Fourier series
• Approximation of functions belonging to the generalized Lipschitz class by \(C^1 \cdot N_p\) summability method of Fourier series
• Trigonometric approximation of periodic functions belonging to \(\mathrm{Lip}(\omega(t), p)\)-class
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