A note on the zeros of Freud-Sobolev orthogonal polynomials

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:207

Article; Proceedings Paper

Moreno-Balcazar, Juan J.

关键词: zeros;    orthogonal polynomials;    sobolev orthogonal polynomials;   

DOI  :  10.1016/j.cam.2006.10.050

来源: Elsevier

【 摘 要 】

We prove that the zeros of a certain family of Sobolev orthogonal polynomials involving the Freud weight function e-(x4) on R are real, simple, and interlace with the zeros of the Freud polynomials, i.e., those polynomials orthogonal with respect to the weight function e-(x4). Some numerical examples are shown. (C) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free