Approximation of conjugate of functions belonging to weighted Lipschitz class \(W(L^{p},\xi(t))\) by Hausdorff means of conjugate Fourier series

DOI10.1016/J.CAM.2013.02.026zbMath1320.42002OpenAlexW1993169951MaRDI QIDQ2349647

Uaday Singh, Shailesh Kumar Srivastava

Publication date: 17 June 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.2013.02.026

zbMATH Keywords

degree of approximationconjugate Fourier seriesHausdorff means\(W(L^{p},\xi(t))\)-class of functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (6)

Degree of convergence of a function of several variables in generalized Hölder spaces ⋮ Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series ⋮ Approximation of functions in the generalized Zygmund class using Hausdorff means ⋮ Approximations of conjugate functions by partial sums of conjugate Fourier series with respect to a certain system of Chebyshev-Markov algebraic fractions ⋮ On approximation in generalized Zygmund class ⋮ Some characterizations of Hausdorff matrices and their application to Fourier approximation

Cites Work

• A study on degree of approximation by Karamata summability method
• Product summability transform of conjugate series of Fourier series
• Pointwise approximation of functions from \(L^p(w)_\beta\) by linear operators of their Fourier series
• On the degree of approximation of functions belonging to the Lipschitz class by means of a conjugate series
• On the degree of approximation to a function belonging to weighted \((L^p,\psi_1(t))\) class
• On the degree of approximation of functions belonging to the class Lip(alpha,p) by means of a conjugate series
• \(L_p\) boundedness of \((C,1)\) means of orthonormal expansions for general exponential weights
• On the degree of approximation of a periodic function f by almost Riesz means of its conjugate series
• Fourier and wavelet analysis
• Approximation of signals (functions) belonging to the weighted \(W(L_{p},\xi (t))\)-class by linear operators
• On the degrees of approximation of functions belonging to L^p (ω̃)_β class by matrix means of conjugate Fourier series
• An L/sub 2/-based method for the design of 1-D zero phase FIR digital filters
• Hausdorff Matrices
• Degree of approximation of conjugate of a function belonging to Lip\((\xi(t),p)\) class by matrix summability means of conjugate Fourier series.
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