Trigonometric approximation of functions belonging to Lipschitz class by matrix \((C^1\cdot N_p)\) operator of conjugate series of Fourier series

DOI10.1186/1687-1847-2013-127zbMath1391.42011OpenAlexW2091638301WikidataQ59300608 ScholiaQ59300608MaRDI QIDQ1648718

Vaishali Sonavane, Lakshmi Narayan Mishra, Vishnu Narayan Mishra

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-127

zbMATH Keywords

degree of approximationconjugate Fourier series\(C^1\) means\(N_p\) means\(\mathrm{Lip}\,\alpha (0<\alpha \leq 1)\) classproduct summability \(C^1\cdot N_p\) transform

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (5)

Unnamed Item ⋮ A note on the trigonometric approximation of \(Lip(\omega(t), p)\)-class ⋮ Degrees of the approximations by some special matrix means of conjugate Fourier series ⋮ \(L_r\)-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 ⋮ Multiplicity of solutions for fractional Schrödinger equations with perturbation

Cites Work

• Unnamed Item
• 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
• Approximation of functions belonging to the generalized Lipschitz class by \(C^1 \cdot N_p\) summability method of 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 of functions belonging to class Lip \((\alpha, p)\)
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• \(T\cdot C_1\) summability of a sequence of Fourier coefficients
• An L/sub 2/-based method for the design of 1-D zero phase FIR digital filters

This page was built for publication: Trigonometric approximation of functions belonging to Lipschitz class by matrix \((C^1\cdot N_p)\) operator of conjugate series of Fourier series