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.
引用
收藏
页码：361 / 378
页数：18
相关论文
共 50 条
  • [1] Orthogonal Laurent polynomials and strong moment theory:: a survey
    Jones, WB
    Njåstad, O
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 105 (1-2) : 51 - 91
  • [2] ORTHOGONAL LAURENT POLYNOMIALS AND THE STRONG HAMBURGER MOMENT PROBLEM
    JONES, WB
    THRON, WJ
    NJASTAD, O
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 98 (02) : 528 - 554
  • [3] ORTHOGONAL LAURENT POLYNOMIALS
    HENDRIKSEN, E
    VANROSSUM, H
    [J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1986, 89 (01): : 17 - 36
  • [4] Pars-orthogonal Laurent polynomials and the strong Stieltjes moment problem
    Bonan-Hamada, CM
    Jones, WB
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 105 (1-2) : 175 - 185
  • [5] Separation theorem of Chebyshev-Markov-Stieltjes type for Laurent polynomials orthogonal on (0,∞)
    Li, X
    [J]. ORTHOGONAL FUNCTIONS, MOMENT THEORY, AND CONTINUED FRACTIONS: THEORY AND APPLICATIONS, 1998, 199 : 327 - 341
  • [6] Zeros of orthogonal Laurent polynomials and solutions of strong Stieltjes moment problems
    Bonan-Hamada, C.
    Jones, W. B.
    Njastad, O.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 235 (04) : 895 - 903
  • [7] Symmetric orthogonal Laurent polynomials
    Cochran, L
    Cooper, SC
    [J]. ORTHOGONAL FUNCTIONS, MOMENT THEORY, AND CONTINUED FRACTIONS: THEORY AND APPLICATIONS, 1998, 199 : 111 - 141
  • [8] Orthogonal Matrix Laurent Polynomials
    K. K. Simonov
    [J]. Mathematical Notes, 2006, 79 : 291 - 295
  • [9] Orthogonal matrix Laurent polynomials
    Simonov, KK
    [J]. MATHEMATICAL NOTES, 2006, 79 (1-2) : 291 - 295
  • [10] Chebyshev-Laurent polynomials and weighted approximation
    De Andrade, EXL
    Dimitrov, DK
    [J]. ORTHOGONAL FUNCTIONS, MOMENT THEORY, AND CONTINUED FRACTIONS: THEORY AND APPLICATIONS, 1998, 199 : 1 - 14
12345