Approximation of signals belonging to generalized Lipschitz class using -summability mean of Fourier series

DOI10.1080/23311835.2016.1250343zbMath1438.42005OpenAlexW2533967281MaRDI QIDQ4966834

Umakanta Misra, T. Pradhan, Susanta Kumar Paikray

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1250343

zbMATH Keywords

Fourier seriesdegree of approximationLebesgue integral\((\overline{N},p_n,q_n)(E,s)\)-meanweighted \(W(L_r,\xi(t))\)-class

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (4)

Unnamed Item ⋮ Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series ⋮ On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, pn) summability means of conjugate Fourier series ⋮ On Approximation of Functions in the Generalized Zygmund Class Using $$(E,r)(N,q_n)$$ Mean Associated with Conjugate Fourier Series

Cites Work

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• \(L_r\)-approximation of signals (functions) belonging to weighted \(W(L_r,\xi(t))\)-class by \(C^1\cdot N_p\) summability method of conjugate series of its Fourier series
• Degree of approximation of a function belonging to weighted $(L_r ,\xi(t ))$ class by (C,1)(E,q) means
• An L/sub 2/-based method for the design of 1-D zero phase FIR digital filters
• Approximation of functions of Lipschitz class by (N,p_n)(E,1) summability means of conjugate series of Fourier series

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