Zero location and nth root asymptotics of Sobolev orthogonal polynomials

被引：37

作者：

Lagomasino, GL

Cabrera, HP

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain

[2] Univ Matanzas, Matanzas, Cuba

来源：

JOURNAL OF APPROXIMATION THEORY | 1999年 / 99卷 / 01期

关键词：

D O I：

10.1006/jath.1998.3318

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a wide class of Sobolev orthogonal polynomials, it is proved that their teres are contained in a compact subset of the complex plane and the asymptotic zero distribution is obtained. With this information, the nth root asymptotic behavior outside the compact set containing all the zeros is given. (C) 1999 Academic Press.

引用

页码：30 / 43

页数：14

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[2]

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[3]

FINKELSHTEIN AM, UNPUB BERNSTEINSZEGO

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