Approximation of signals (functions) belonging to the weighted \(W(L_{p},\xi (t))\)-class by linear operators

DOI10.1155/IJMMS/2006/53538zbMath1126.42001OpenAlexW1980329954MaRDI QIDQ2644149

M. L. Mittal, Vishnu Narayan Mishra, Billy E. Rhoades

Publication date: 7 September 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53595

zbMATH Keywords

matrix operatorsconjugate Fourier seriesNörlund transformsapproximation of functions of Lip-Lebesgue-weighted class

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Matrix methods for summability (40C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Rate of convergence, degree of approximation (41A25)

Related Items (9)

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 signals of class \(Lip(\alpha , p)\) by linear operators ⋮ Product summability transform of conjugate series of Fourier series ⋮ Approximation of conjugate functions by general linear operators of their Fourier series at the Lebesgue points ⋮ Error bound of periodic signals in the Hölder metric ⋮ Approximation of Signal Belonging to W^' (L^p, ξ(t)) Class by Generalized Cesaro-Euler (C^{α,η}.E^θ) Operator of Conjugate Fourier Series ⋮ Degree of approximation of signals (functions) in Besov space using linear operators ⋮ On the degree of approximation of signals Lip(α,r), (r≥ 1) class by almost Riesz means of its Fourier series ⋮ Approximation of conjugate of functions belonging to weighted Lipschitz class \(W(L^{p},\xi(t))\) by Hausdorff means of conjugate Fourier series

Cites Work

• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• 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
• A sufficient condition for \((F_1)\)-effectiveness of the \(C^1T\)-method
• An L/sub 2/-based method for the design of 1-D zero phase FIR digital filters
• 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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