Some properties of zeros of Sobolev-type orthogonal polynomials

被引：13

作者：

Alfaro, M

Lopez, G

Rezola, ML

机构：

[1] UNIV ZARAGOZA,DEPT MATEMAT,E-50009 ZARAGOZA,SPAIN

[2] UNIV LA HABANA,FAC MATEMAT & CIBERNET,HAVANA 4,CUBA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 69卷 / 01期

关键词：

orthogonal and quasi-orthogonal polynomials; Sobolev-type products; Gauss-Jacobi quadrature formula; zeros;

D O I：

10.1016/0377-0427(95)00034-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For polynomials orthogonal with respect to a discrete Sobolev product, we prove that, for each n, Q(n) has at least n - m zeros on the convex hull of the support of the measure, where m denotes the number of terms in the discrete part. Interlacing properties of zeros are also described.

引用

收藏

页码：171 / 179

页数：9

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