\(L_ 2\)-approximation by the translates of a function and related attenuation factors

DOI10.1007/BF01385736zbMath0743.41015OpenAlexW1976182427MaRDI QIDQ1813002

Yanyan Li

Publication date: 25 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133606

zbMATH Keywords

Fourier coefficientsdiscrete least squares approximanttrigonometric \(B\)-spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (2)

Mean square approximation by optimal periodic interpolation ⋮ Periodic Splines of Complex Order

Cites Work

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• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• Attenuation factors in practical Fourier analysis
• Optimale approximation linearer Funktionale auf periodischen Funktionen
• Fast Fourier Methods in Computational Complex Analysis
• Interpolatory and variation-diminishing properties of generalized B-splines
• Interpolation on Uniform Meshes by the Translates of One Function and Related Attenuation Factors
• Convolution operators with trigonometric spline kernels
• Approximation and spectral properties of periodic spline operators

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