The strong Chebyshev distribution and orthogonal Laurent polynomials

被引：3
|
作者：
Cooper, SC [1 ]
Gustafson, PE
机构：
[1] Washington State Univ, Dept Pure & Appl Math, Pullman, WA 99164 USA
[2] Emporia State Univ, Div Math & Comp Sci, Emporia, KS 66801 USA
来源：
JOURNAL OF APPROXIMATION THEORY | 1998年 / 92卷 / 03期
关键词：
D O I：
10.1006/jath.1997.3161
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The strong Chebyshev distribution and the Chebyshev orthogonal Laurent polynomials are examined in detail. Explicit formulas are derived for the orthogonal Laurent polynomials, uniform convergence of the associated continued fraction is established, and the zeros of the Chebyshev L-polynomials are given. This provides another well-developed example of a sequence of orthogonal L-polynomials. (C) 1998 Academic Press.
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页码：361 / 378
页数：18
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