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.

引用

页码：8354 / 8359

页数：6

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