Zeros of orthogonal polynomials in certain discrete Sobolev spaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:67

Article

Han, SS ; Kwon, KH ; Littlejohn, LL

关键词: Sobolev orthogonal polynomials;    discrete Sobolev inner products;    zeros;   

DOI  :  10.1016/0377-0427(94)00131-6

来源: Elsevier

【 摘 要 】

In this work discrete Sobolev (pseudo-)inner products of type phi(1)(p,q):=lambda p(c)q(c)+integral(a)(b)p'(x)q'(x)d mu(x), where d mu is a quasi-definite Borel measure and lambda not equal 0, and phi(2)(p,q):=lambda(p(c)q(c)+p(-c)q(-c))+integral(-a)(a) p'(x)q'(x)d mu(x), where d mu is a symmetric positive Borel measure, c not equal 0, and lambda>0 are considered. General properties of orthogonal polynomials associated with the above discrete Sobolev inner products and their zeros are studied.

【 授权许可】

Free