Approximation of functions belonging to \({\mathrm {Lip}}(\xi,(t),r)\) class by \((N,p_n)(E,q)\) summability of conjugate series of Fourier series

DOI10.1186/1029-242X-2012-296zbMath1280.42003OpenAlexW2151005250WikidataQ59288120 ScholiaQ59288120MaRDI QIDQ388057

Kejal Khatri, Vishnu Narayan Mishra, Lakshmi Narayan Mishra

Publication date: 18 December 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-296

zbMATH Keywords

degree of approximationconjugate Fourier series\((N,p_n)(E,q)\) product summability\({\mathrm {Lip}}(\xi,(t),r)\)-class of function

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (11)

On Degree of Approximation of Signals in the Generalized Zygmund Class by Using (E, r)(N,q_n) Mean ⋮ On degree of approximation of Fourier series of functions in Besov space using Nörlund mean ⋮ Growth Properties of the Cherednik-Opdam Transform in the Space Lp ⋮ Generalized matrix summability of a conjugate derived Fourier series ⋮ Unnamed Item ⋮ On approximation of signals belonging to some classes by \((N,p_m,q_m)(E,\theta)(E,\theta)\) means of conjugate series of its Fourier series ⋮ 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 ⋮ Approximation of functions belonging toL[0, ∞) by product summability means of its Fourier-Laguerre series ⋮ Trigonometric approximation of periodic Signals belonging to generalized weighted Lipschitz W'(L_r,ξ(t)),(r≥1) -- class by Nörlund-Euler (N,p_n) (E,q) operator of conjugate series of its Fourier series ⋮ On Approximation of Functions in the Generalized Zygmund Class Using $$(E,r)(N,q_n)$$ Mean Associated with Conjugate Fourier Series ⋮ On Approximation of Functions Belonging to some Classes of Functions by $(N,p_n,q_n)(E,theta )$ Means of Conjugate Series of Its Fourier Series

Cites Work

• Approximation of signals of class \(Lip(\alpha , p)\) by linear operators
• On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series
• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• \(T\cdot C_1\) summability of a sequence of Fourier coefficients

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