A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics

Detalhes bibliográficos
Autor(a) principal: Wang,Ren-Hong
Data de Publicação: 2010
Outros Autores: Xu,Min
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000100004
Resumo: In this paper, a kind of Bernoulli-type operator is proposed by combining a univariate multiquadric quasi-interpolation operator with the generalized Taylor polynomial. With an assumption on the shape-preserving parameter c, the convergence rate of the new operator is derived, which indicates that it could produce the desired precision. Numerical comparisons show that this method offers a higher degree of accuracy. Moreover, the associated algorithm is easily implemented.
id SBMAC-2_9430a797df72e6654ee8bd1c7dff26d9
oai_identifier_str oai:scielo:S1807-03022010000100004
network_acronym_str SBMAC-2
network_name_str Computational & Applied Mathematics
repository_id_str
spelling A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadricsradial basis functionsmultiquadricsquasi-interpolationBernoulli polynomialsconvergence rateIn this paper, a kind of Bernoulli-type operator is proposed by combining a univariate multiquadric quasi-interpolation operator with the generalized Taylor polynomial. With an assumption on the shape-preserving parameter c, the convergence rate of the new operator is derived, which indicates that it could produce the desired precision. Numerical comparisons show that this method offers a higher degree of accuracy. Moreover, the associated algorithm is easily implemented.Sociedade Brasileira de Matemática Aplicada e Computacional2010-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000100004Computational & Applied Mathematics v.29 n.1 2010reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022010000100004info:eu-repo/semantics/openAccessWang,Ren-HongXu,Mineng2010-03-19T00:00:00Zoai:scielo:S1807-03022010000100004Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2010-03-19T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
title A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
spellingShingle A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
Wang,Ren-Hong
radial basis functions
multiquadrics
quasi-interpolation
Bernoulli polynomials
convergence rate
title_short A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
title_full A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
title_fullStr A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
title_full_unstemmed A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
title_sort A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics
author Wang,Ren-Hong
author_facet Wang,Ren-Hong
Xu,Min
author_role author
author2 Xu,Min
author2_role author
dc.contributor.author.fl_str_mv Wang,Ren-Hong
Xu,Min
dc.subject.por.fl_str_mv radial basis functions
multiquadrics
quasi-interpolation
Bernoulli polynomials
convergence rate
topic radial basis functions
multiquadrics
quasi-interpolation
Bernoulli polynomials
convergence rate
description In this paper, a kind of Bernoulli-type operator is proposed by combining a univariate multiquadric quasi-interpolation operator with the generalized Taylor polynomial. With an assumption on the shape-preserving parameter c, the convergence rate of the new operator is derived, which indicates that it could produce the desired precision. Numerical comparisons show that this method offers a higher degree of accuracy. Moreover, the associated algorithm is easily implemented.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000100004
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000100004
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022010000100004
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.29 n.1 2010
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
_version_ 1754734890202431488

Registros relacionados