Explicit solution of the finite time L2-norm polynomial approximation problem

被引：4
|
作者：
Fedele, Giuseppe [1 ]
Ferrise, Andrea [1 ]
机构：
[1] Univ Calabria, Dept Elect Comp & Syst Sci, I-87036 Cosenza, Italy
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 21期
关键词：
Polynomial approximation; L-2-norm; Hilbert matrix; Laguerre polynomials; Bernstein polynomials; BERNSTEIN; DESIGN;
D O I：
10.1016/j.amc.2011.03.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to present a new approach to the finite time L-2-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. (C) 2011 Elsevier Inc. All rights reserved.
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页码：8354 / 8359
页数：6
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