Sharp bounds for the extreme zeros of classical orthogonal polynomials

Artigo

Fecha

2010-10-01

Registro en:

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

0021-9045

http://hdl.handle.net/11449/21765

10.1016/j.jat.2009.11.006

WOS:000283564600004

1681267716971253

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3895499

Autor

Universidade Estadual Paulista (Unesp)

Univ Sofia

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Materias

Extreme zeros

Classical orthogonal polynomials

Sharp bounds

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