A strong form of almost differentiability

Detalhes bibliográficos
Autor(a) principal: Almeida, R.
Data de Publicação: 2009
Outros Autores: Neves, V.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/4152
Resumo: We present a uniformization of Reeken's macroscopic differentiability (see [5]), discuss its relations to uniform differentiability (see [6]) and classical continuous differentiability, prove the corresponding chain rule, Taylor's theorem, mean value theorem, and inverse mapping theorem. An attempt to compare it with the observability (see [1, 4]) is made too. © 2009 Springer Science+Business Media, Inc.
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spelling A strong form of almost differentiabilityNonstandard Analysism-differentiabilityWe present a uniformization of Reeken's macroscopic differentiability (see [5]), discuss its relations to uniform differentiability (see [6]) and classical continuous differentiability, prove the corresponding chain rule, Taylor's theorem, mean value theorem, and inverse mapping theorem. An attempt to compare it with the observability (see [1, 4]) is made too. © 2009 Springer Science+Business Media, Inc.Springer Verlag2011-10-13T11:42:02Z2009-01-01T00:00:00Z2009info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/4152eng1072-3374Almeida, R.Neves, V.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:04:28Zoai:ria.ua.pt:10773/4152Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:12.327338Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A strong form of almost differentiability
title A strong form of almost differentiability
spellingShingle A strong form of almost differentiability
Almeida, R.
Nonstandard Analysis
m-differentiability
title_short A strong form of almost differentiability
title_full A strong form of almost differentiability
title_fullStr A strong form of almost differentiability
title_full_unstemmed A strong form of almost differentiability
title_sort A strong form of almost differentiability
author Almeida, R.
author_facet Almeida, R.
Neves, V.
author_role author
author2 Neves, V.
author2_role author
dc.contributor.author.fl_str_mv Almeida, R.
Neves, V.
dc.subject.por.fl_str_mv Nonstandard Analysis
m-differentiability
topic Nonstandard Analysis
m-differentiability
description We present a uniformization of Reeken's macroscopic differentiability (see [5]), discuss its relations to uniform differentiability (see [6]) and classical continuous differentiability, prove the corresponding chain rule, Taylor's theorem, mean value theorem, and inverse mapping theorem. An attempt to compare it with the observability (see [1, 4]) is made too. © 2009 Springer Science+Business Media, Inc.
publishDate 2009
dc.date.none.fl_str_mv 2009-01-01T00:00:00Z
2009
2011-10-13T11:42:02Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/4152
url http://hdl.handle.net/10773/4152
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1072-3374
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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