Author | dc.contributor.author | Correa, R. | |
Author | dc.contributor.author | Hantoute, A. | |
Author | dc.contributor.author | López-Cerdá, Marco | |
Admission date | dc.date.accessioned | 2019-05-31T15:19:07Z | |
Available date | dc.date.available | 2019-05-31T15:19:07Z | |
Publication date | dc.date.issued | 2018 | |
Cita de ítem | dc.identifier.citation | Journal of Convex Analysis, Volumen 25, Issue 4, 2018 | |
Identifier | dc.identifier.issn | 09446532 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/169325 | |
Abstract | dc.description.abstract | We generalize and improve the original characterization given by Valadier [18, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdifferentials of the data functions at nearby points. We remove the continuity assumption made in that work and obtain a general formula for such a subdiferential. In particular, when the supremum is continuous at some point of its domain, but not necessarily at the reference point, we get a simpler version which gives rise to the Valadier formula. Our starting result is the characterization given in [11, Theorem 4], which uses the epsilon-subdifferential at the reference point. | |
Lenguage | dc.language.iso | en | |
Publisher | dc.publisher | Heldermann Verlag | |
Source | dc.source | Journal of Convex Analysis | |
Keywords | dc.subject | Convex functions | |
Keywords | dc.subject | Fenchel subdifferential | |
Keywords | dc.subject | Pointwise supremum function | |
Keywords | dc.subject | Valadier-like formulas | |
Título | dc.title | Valadier-like formulas for the supremum function I | |
Document type | dc.type | Artículo de revista | |
dcterms.accessRights | dcterms.accessRights | Acceso a solo metadatos | |
Cataloguer | uchile.catalogador | jmm | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |
uchile.cosecha | uchile.cosecha | SI | |