Some characterizations of Hausdorff matrices and their application to Fourier approximation

DOI10.1016/j.cam.2019.112450zbMath1428.42003OpenAlexW2972094881MaRDI QIDQ2332751

Uaday Singh, Birendra Singh

Publication date: 5 November 2019

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.2019.112450

zbMATH Keywords

summabilityFourier approximationHausdorff matrices

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability and absolute summability of Fourier and trigonometric series (42A24)

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On rate of convergence of matrix means of corrected Fourier series

Cites Work

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• Euler-Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class
• Approximation of functions in the generalized Zygmund class using Hausdorff means
• On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series
• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Approximation of conjugate of functions belonging to weighted Lipschitz class \(W(L^{p},\xi(t))\) by Hausdorff means of conjugate Fourier series
• The degree of approximation of functions, and their conjugates, belonging to several general Lipschitz classes, by Hausdorff matrix means of their Fourier series and conjugate series of their Fourier series
• Hausdorff Matrices