Integration of Fenchel subdifferentials revisited

We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of ε-subdifferentials.

Detalles Bibliográficos
Autor: Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:184527
Acceso en línea:https://ddd.uab.cat/record/184527
https://dx.doi.org/urn:doi:10.1007/s10013-014-0101-3
Access Level:acceso abierto
Palabra clave:Convex funcions
Fenchel subdifferential
Rockafellar integration formula
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spelling Integration of Fenchel subdifferentials revisitedMartínez Legaz, Juan Enrique|||0000-0002-6845-6202Convex funcionsFenchel subdifferentialRockafellar integration formulaWe obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of ε-subdifferentials. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/184527https://dx.doi.org/urn:doi:10.1007/s10013-014-0101-3reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1845272026-06-06T12:50:31Z
dc.title.none.fl_str_mv Integration of Fenchel subdifferentials revisited
title Integration of Fenchel subdifferentials revisited
spellingShingle Integration of Fenchel subdifferentials revisited
Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Convex funcions
Fenchel subdifferential
Rockafellar integration formula
title_short Integration of Fenchel subdifferentials revisited
title_full Integration of Fenchel subdifferentials revisited
title_fullStr Integration of Fenchel subdifferentials revisited
title_full_unstemmed Integration of Fenchel subdifferentials revisited
title_sort Integration of Fenchel subdifferentials revisited
dc.creator.none.fl_str_mv Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
author Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
author_facet Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
author_role author
dc.subject.none.fl_str_mv Convex funcions
Fenchel subdifferential
Rockafellar integration formula
topic Convex funcions
Fenchel subdifferential
Rockafellar integration formula
description We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of ε-subdifferentials.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/184527
https://dx.doi.org/urn:doi:10.1007/s10013-014-0101-3
url https://ddd.uab.cat/record/184527
https://dx.doi.org/urn:doi:10.1007/s10013-014-0101-3
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
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