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A note on the zeros of Freud–Sobolev orthogonal polynomials

✍ Scribed by Juan J. Moreno-Balcázar

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
141 KB
Volume
207
Category
Article
ISSN
0377-0427

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✦ Synopsis

We prove that the zeros of a certain family of Sobolev orthogonal polynomials involving the Freud weight function e -x 4 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 -x 4

. Some numerical examples are shown.

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