Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions

Detalhes bibliográficos
Autor(a) principal: KASHIMOTO,M.S.
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300465
Resumo: ABSTRACT In this paper, we give some applications of Nachbin’s Theorem (4) to approximation and interpolation in the the space of all k times continuously differentiable real functions on any open subset of the Euclidean space.
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spelling Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable FunctionsNachbin’s theoremapproximation of differentiable functionsStone-Weierstrass theoreminterpolationABSTRACT In this paper, we give some applications of Nachbin’s Theorem (4) to approximation and interpolation in the the space of all k times continuously differentiable real functions on any open subset of the Euclidean space.Sociedade Brasileira de Matemática Aplicada e Computacional2018-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300465TEMA (São Carlos) v.19 n.3 2018reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2018.019.03.0465info:eu-repo/semantics/openAccessKASHIMOTO,M.S.eng2018-12-13T00:00:00Zoai:scielo:S2179-84512018000300465Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2018-12-13T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
title Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
spellingShingle Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
KASHIMOTO,M.S.
Nachbin’s theorem
approximation of differentiable functions
Stone-Weierstrass theorem
interpolation
title_short Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
title_full Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
title_fullStr Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
title_full_unstemmed Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
title_sort Applications of Nachbin’s Theorem concerning Dense Subalgebras of Differentiable Functions
author KASHIMOTO,M.S.
author_facet KASHIMOTO,M.S.
author_role author
dc.contributor.author.fl_str_mv KASHIMOTO,M.S.
dc.subject.por.fl_str_mv Nachbin’s theorem
approximation of differentiable functions
Stone-Weierstrass theorem
interpolation
topic Nachbin’s theorem
approximation of differentiable functions
Stone-Weierstrass theorem
interpolation
description ABSTRACT In this paper, we give some applications of Nachbin’s Theorem (4) to approximation and interpolation in the the space of all k times continuously differentiable real functions on any open subset of the Euclidean space.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-01
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=S2179-84512018000300465
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300465
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2018.019.03.0465
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 TEMA (São Carlos) v.19 n.3 2018
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional
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reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
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