Bounds for the zeros of symmetric kravchuk polynomials

Area, Ivan; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/128868

Title:

Bounds for the zeros of symmetric kravchuk polynomials

Author(s):

Institution:

Univ Vigo
Universidade Estadual Paulista (UNESP)
Universidade Federal de São Paulo (UNIFESP)

ISSN:

1017-1398

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Ministerio de Economia y Competitividad of Spain
European Community fund FEDER

Sponsorship Process Number:

FAPESP: 2009/13832-9
FAPESP: 2013/23606-1
CNPq: 307183/2013-0
Ministerio de Economia y Competitividad of Spain: MTM2012-38794-C02-01

Abstract:

Sharp bounds for the zeros of symmetric Kravchuk polynomials K (n) (x;M) are obtained. The results provide a precise quantitative meaning of the fact that Kravchuk polynomials converge uniformly to Hermite polynomials, as M tends to infinity. They show also how close the corresponding zeros of two polynomials from these sequences of classical orthogonal polynomials are.

Issue Date:

1-Jul-2015

Citation:

Numerical Algorithms, v. 69, n. 3, p. 611-624, 2015.

Time Duration:

611-624

Publisher:

Springer

Keywords:

Orthogonal polynomials of a discrete variable
Symmetric Kravchuk polynomials
Hermite polynomials
Limit relation
Zeros

Source:

http://link.springer.com/article/10.1007%2Fs11075-014-9916-y

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/128868

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