\(L_r\)-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

DOI10.1186/1029-242X-2013-440zbMath1320.42004WikidataQ59298995 ScholiaQ59298995MaRDI QIDQ2017011

Vaishali Sonavane, Lakshmi Narayan Mishra, Vishnu Narayan Mishra

Publication date: 25 June 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

degree of approximationconjugate Fourier seriesproduct summability\(C^1\) means\(N_p\) means\(L^r\)-approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Rate of convergence, degree of approximation (41A25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24) Conjugate functions, conjugate series, singular integrals (42A50)

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On Degree of Approximation of Signals in the Generalized Zygmund Class by Using (E, r)(N,q_n) Mean, Approximation of signals belonging to generalized Lipschitz class using -summability mean of Fourier series

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