A modified least squares method: Approximations on the unit circle and on (−1,1)
| dc.contributor.author | Silva Ribeiro, Luana L. [UNESP] | |
| dc.contributor.author | Sri Ranga, A. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2022-04-28T19:51:18Z | |
| dc.date.available | 2022-04-28T19:51:18Z | |
| dc.date.issued | 2022-08-15 | |
| dc.description.abstract | The main objective in the present manuscript is to consider approximations of functions defined on the unit circle by Laurent polynomials derived from certain combinations of kernel polynomials of orthogonal polynomials on the unit circle. The method that we employ is based on a modification of the least squares method. The modification adopted here simplifies considerably the determinations of the coefficients in the combinations. Numerical examples show that this modified technique still leads to very good approximations. | en |
| dc.description.affiliation | UNESP - Universidade Estadual Paulista Departamento de Matamática IBILCE/UNESP, Rua Cristóvão Colombo 2265 | |
| dc.description.affiliationUnesp | UNESP - Universidade Estadual Paulista Departamento de Matamática IBILCE/UNESP, Rua Cristóvão Colombo 2265 | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| 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.sponsorshipId | CAPES: 2016/09906-0 | |
| dc.description.sponsorshipId | FAPESP: 2017/04358-8 | |
| dc.description.sponsorshipId | CAPES: 2020/14244-2 | |
| dc.description.sponsorshipId | CNPq: 304087/2018-1 | |
| dc.identifier | http://dx.doi.org/10.1016/j.cam.2022.114168 | |
| dc.identifier.citation | Journal of Computational and Applied Mathematics, v. 410. | |
| dc.identifier.doi | 10.1016/j.cam.2022.114168 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.scopus | 2-s2.0-85125450285 | |
| dc.identifier.uri | http://hdl.handle.net/11449/223536 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Computational and Applied Mathematics | |
| dc.source | Scopus | |
| dc.subject | Kernel polynomials on the unit circle | |
| dc.subject | Least squares approximation | |
| dc.subject | Orthogonal polynomials on the unit circle | |
| dc.title | A modified least squares method: Approximations on the unit circle and on (−1,1) | en |
| dc.type | Artigo | |
| unesp.author.orcid | 0000-0002-1318-3892[1] |