Power orthogonal polynomials;
Zeros;
Turan inequality;
Gaussian quadrature formulas;
D O I:
10.1016/j.jat.2007.08.003
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this note some estimates of the largest zeros of power orthogonal polynomials are given and some relations involving the largest zeros of orthogonal polynomials, including the Turan inequality, are also established. (C) 2007 Elsevier Inc. All rights reserved.
机构:Open Univ Israel, Math Dept, POB 808, IL-43107 Raanana, Israel
Levin, Eli
Lubinsky, D. S.
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机构:
Open Univ Israel, Math Dept, POB 808, IL-43107 Raanana, Israel
Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USAOpen Univ Israel, Math Dept, POB 808, IL-43107 Raanana, Israel
机构:
Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
Dimitrov, DK
Ronveaux, A
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机构:Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil