On the trigonometric approximation of functions in a weighted Lipschitz class

DOI10.1007/S41478-020-00267-5zbMath1465.42003OpenAlexW3087695343MaRDI QIDQ2026956

Uaday Singh

Publication date: 21 May 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-020-00267-5

zbMATH Keywords

Fourier seriesconjugate functiondegree of approximationweighted norm

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Weighted approximation (41A81)

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Cites Work

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• 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
• On the trigonometric approximation of the generalized weighted Lipschitz class
• Trigonometric approximation of signals (functions) belonging to \(W(L^r,\xi(t))\) class by matrix \((C^1 \cdot N_p)\) operator
• On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series
• Approximation of functions belonging to the generalized Lipschitz class by \(C^1 \cdot N_p\) summability method of Fourier series
• Pointwise approximation of \(2 \pi/r\)-periodic functions by matrix operators of their Fourier series with \(r\)-differences of the entries
• On the degree of approximation of functions in a weighted Lipschitz class by almost matrix summability method
• Pointwise approximation of modified conjugate functions by matrix operators of their Fourier series with the use of some parameters
• Trigonometric approximation of functions belonging to certain Lipschitz classes by C¹⋅ T operator

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