An Orthogonality Property of the Legendre Polynomials

被引：2
|
作者：
Bos, L. [1 ]
Narayan, A. [2 ]
Levenberg, N. [3 ]
Piazzon, F. [4 ]
机构：
[1] Univ Verona, Dept Comp Sci, Verona, Italy
[2] Univ Utah, Dept Math, Sci Comp & Imaging Inst SCI, Salt Lake City, UT 84112 USA
[3] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
[4] Univ Padua, Dept Math, Padua, Italy
来源：
CONSTRUCTIVE APPROXIMATION | 2017年 / 45卷 / 01期
基金：
美国国家科学基金会;
关键词：
Legendre polynomials; Christoffel function; Equilibrium measure;
D O I：
10.1007/s00365-015-9321-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a remarkable additional othogonality property of the classical Legendre polynomials on the real interval : polynomials up to degree n from this family are mutually orthogonal under the arcsine measure weighted by the normalized degree-n Christoffel function.
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页码：65 / 81
页数：17
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