Bounds for the zeros of symmetric kravchuk polynomials
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 |