Bounds for the zeros of symmetric kravchuk polynomials


Autoria(s): Area, Ivan; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

21/10/2015

21/10/2015

01/07/2015

Resumo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Processo FAPESP: 2009/13832-9

Processo FAPESP: 2013/23606-1

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.

Formato

611-624

Identificador

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

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

1017-1398

http://hdl.handle.net/11449/128868

http://dx.doi.org/10.1007/s11075-014-9916-y

WOS:000356823700010

Idioma(s)

eng

Publicador

Springer

Relação

Numerical Algorithms

Direitos

closedAccess

Palavras-Chave #Orthogonal polynomials of a discrete variable #Symmetric Kravchuk polynomials #Hermite polynomials #Limit relation #Zeros
Tipo

info:eu-repo/semantics/article