Explicit solution of the finite time L2-norm polynomial approximation problem
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摘要
The aim of this paper is to present a new approach to the finite time L2-norm polynomial approximation problem. A new formulation of this problem leads to an equivalent linear system whose solution can be investigated analytically. Such a solution is then specialized for a polynomial expressed in terms of Laguerre and Bernstein basis.
论文关键词:Polynomial approximation,L2-norm,Hilbert matrix,Laguerre polynomials,Bernstein polynomials
论文评审过程:Available online 17 March 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.03.032