Sharp bounds for the extreme zeros of classical orthogonal polynomials

JOURNAL OF APPROXIMATION THEORY

卷:162

Article

Dimitrov, Dimitar K.¹  Nikolov, Geno P.² 

[1] Univ Estadual Paulista, Dept Ciencias Computacao & Estat, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

[2] Univ Sofia, Dept Math, Sofia 1164, Bulgaria

关键词: Extreme zeros;    Classical orthogonal polynomials;    Sharp bounds;   

DOI  :  10.1016/j.jat.2009.11.006

来源: Elsevier

【 摘 要 】

Bounds for the extreme zeros of the classical orthogonal polynomials are obtained by a surprisingly simple method. Nevertheless, it turns out that, in most cases, the estimates obtained in this note are better than the best limits known in the literature. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free