Sharp bounds for the extreme zeros of classical orthogonal polynomials

Dimitrov, Dimitar Kolev; Nikolov, Geno P.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/21765

Title:

Sharp bounds for the extreme zeros of classical orthogonal polynomials

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Univ Sofia

ISSN:

0021-9045

Sponsorship:

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Bulgarian Ministry of Education and Science
Sofia University Research Foundation

Sponsorship Process Number:

CNPq: 304830/2006-2
FAPESP: 03/01874-2
Bulgarian Ministry of Education and Science: VU-I-303/2007
Sofia University Research Foundation: 039/2009

Abstract:

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 B.V. All rights reserved.

Issue Date:

1-Oct-2010

Citation:

Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 162, n. 10, p. 1793-1804, 2010.

Time Duration:

1793-1804

Publisher:

Academic Press Inc. Elsevier B.V.

Keywords:

Extreme zeros
Classical orthogonal polynomials
Sharp bounds

Source:

http://dx.doi.org/10.1016/j.jat.2009.11.006

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/21765

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