A note on the zeros of Freud-Sobolev orthogonal polynomials

[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.

[发布日期] 2007-10-15

[效力级别]  Proceedings Paper

[关键词] zeros;orthogonal polynomials;sobolev orthogonal polynomials