Bounds for the zeros of symmetric kravchuk polynomials
| dc.contributor.author | Area, Ivan | |
| dc.contributor.author | Dimitrov, Dimitar K. [UNESP] | |
| dc.contributor.author | Godoy, Eduardo | |
| dc.contributor.author | Paschoa, Vanessa | |
| dc.contributor.institution | Univ Vigo | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universidade Federal de São Paulo (UNIFESP) | |
| dc.date.accessioned | 2015-10-21T13:14:44Z | |
| dc.date.available | 2015-10-21T13:14:44Z | |
| dc.date.issued | 2015-07-01 | |
| dc.description.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. | en |
| dc.description.affiliation | Univ Vigo, Dept Matemat Aplicada 2, EE Telecomunicac, Vigo 36310, Spain | |
| dc.description.affiliation | Univ Estadual Paulista, Dept Matemat Aplicada, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.affiliation | Univ Vigo, Dept Matemat Aplicada 2, EE Ind, Vigo 36310, Spain | |
| dc.description.affiliation | Univ Fed Sao Paulo, Dept Ciencia &Tecnol, BR-12231280 Sao Jose Dos Campos, SP, Brazil | |
| dc.description.affiliationUnesp | Univ Estadual Paulista, Dept Matemat Aplicada, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorship | Ministerio de Economia y Competitividad of Spain | |
| dc.description.sponsorship | European Community fund FEDER | |
| dc.description.sponsorshipId | FAPESP: 2009/13832-9 | |
| dc.description.sponsorshipId | FAPESP: 2013/23606-1 | |
| dc.description.sponsorshipId | CNPq: 307183/2013-0 | |
| dc.description.sponsorshipId | Ministerio de Economia y Competitividad of Spain: MTM2012-38794-C02-01 | |
| dc.format.extent | 611-624 | |
| dc.identifier | http://link.springer.com/article/10.1007%2Fs11075-014-9916-y | |
| dc.identifier.citation | Numerical Algorithms, v. 69, n. 3, p. 611-624, 2015. | |
| dc.identifier.doi | 10.1007/s11075-014-9916-y | |
| dc.identifier.issn | 1017-1398 | |
| dc.identifier.uri | http://hdl.handle.net/11449/128868 | |
| dc.identifier.wos | WOS:000356823700010 | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Numerical Algorithms | |
| dc.relation.ispartofjcr | 1.536 | |
| dc.relation.ispartofsjr | 0,981 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Web of Science | |
| dc.subject | Orthogonal polynomials of a discrete variable | en |
| dc.subject | Symmetric Kravchuk polynomials | en |
| dc.subject | Hermite polynomials | en |
| dc.subject | Limit relation | en |
| dc.subject | Zeros | en |
| dc.title | Bounds for the zeros of symmetric kravchuk polynomials | en |
| dc.type | Artigo | |
| dcterms.license | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
| dcterms.rightsHolder | Springer | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática Aplicada - IBILCE | pt |