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Explicit solution of the finite time \(L_{2}\)-norm polynomial approximation problem

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Publication:545984
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DOI10.1016/j.amc.2011.03.032zbMath1217.41010OpenAlexW1984332703MaRDI QIDQ545984

Andrea Ferrise, Giuseppe Fedele

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.032


zbMATH Keywords

Bernstein polynomialspolynomial approximationLaguerre polynomials\(L_2\)-approximation


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)


Related Items

Functional data approximation on bounded domains using polygonal finite elements



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Gauss-Lobatto to Bernstein polynomials transformation
  • A property of the elementary symmetric functions on the frequencies of sinusoidal signals
  • On the numerical condition of polynomials in Bernstein form
  • Approximation in normed linear spaces
  • Tricks or Treats with the Hilbert Matrix
  • System identification using Laguerre models
  • On the optimal stability of the Bernstein basis
  • Parametric Bernstein polynomial for least squares design of 3-D wavelet filter banks
  • Solution of time domain electric field Integral equation using the Laguerre polynomials
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