Trigonometric approximation of periodic functions belonging to \(\mathrm{Lip}(\omega(t), p)\)-class

DOI10.1016/J.CAM.2014.01.020zbMath1323.42007OpenAlexW1536509833MaRDI QIDQ2517433

Shailesh Kumar Srivastava, Uaday Singh

Publication date: 26 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.01.020

zbMATH Keywords

Fourier seriesGibbs phenomenonperiodic functionsmatrix meanshump matrix

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Matrix methods for summability (40C05) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (5)

On the trigonometric approximation of the generalized weighted Lipschitz class ⋮ Degree of approximation of functions belonging to \(Lip(\omega (t),p)\)-class by linear operators based on Fourier series ⋮ Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series ⋮ Approximation of functions of Lipschitz class by (N,p_n)(E,1) summability means of conjugate series of Fourier series ⋮ A note on the trigonometric approximation of \(Lip(\omega(t), p)\)-class

Cites Work

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• A study on degree of approximation by Karamata summability method
• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• \(L_p\) boundedness of \((C,1)\) means of orthonormal expansions for general exponential weights
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• A lag-average generalization of Euler's method for accelerating series
• Absolute Nörlund summability
• An L/sub 2/-based method for the design of 1-D zero phase FIR digital filters

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