Degree of Approximation of $$f\in L[0,\infty )$$ by Means of Fourier–Laguerre Series

DOI10.1007/978-81-322-2485-3_16zbMath1353.42025OpenAlexW2301508668MaRDI QIDQ2801910

Soshal Saini, Uaday Singh

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_16

zbMATH Keywords

degree of approximationFourier-Laguerre seriesHausdorff means

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (2)

Uniform approximation in \(L[0, \infty)\)-space by Cesàro means of Fourier-Laguerre series ⋮ Uniform approximation of functions belonging to \(L[0,\infty)\)-space using \(C^{\gamma}.T\)-means of Fourier-Laguerre series

Cites Work

• On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series
• A study on degree of approximation by \((E,1)\) summability means of the Fourier-Laguerre expansion
• The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion
• Hausdorff Matrices
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