Artigo
Bounds for the zeros of symmetric kravchuk polynomials
Registration in:
Numerical Algorithms, v. 69, n. 3, p. 611-624, 2015.
1017-1398
10.1007/s11075-014-9916-y
WOS:000356823700010
Author
Area, Ivan
Dimitrov, Dimitar K. [UNESP]
Godoy, Eduardo
Paschoa, Vanessa
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. 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 Univ Vigo, Dept Matemat Aplicada 2, EE Telecomunicac, Vigo 36310, Spain Univ Estadual Paulista, Dept Matemat Aplicada, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil Univ Vigo, Dept Matemat Aplicada 2, EE Ind, Vigo 36310, Spain Univ Fed Sao Paulo, Dept Ciencia &Tecnol, BR-12231280 Sao Jose Dos Campos, SP, Brazil Univ Estadual Paulista, Dept Matemat Aplicada, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil FAPESP: 2009/13832-9 FAPESP: 2013/23606-1 CNPq: 307183/2013-0 Ministerio de Economia y Competitividad of Spain: MTM2012-38794-C02-01