Publication:
Weierstrass' theorem in weighted Sobolev spaces with k derivatives: announcement of results

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorPortilla, Ana
dc.contributor.authorQuintana, Yamilet
dc.contributor.authorRodríguez, José M.
dc.contributor.authorTourís, Eva
dc.date.accessioned2010-01-15T15:30:45Z
dc.date.available2010-01-15T15:30:45Z
dc.date.issued2006
dc.description5 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
dc.descriptionMR#: MR2219919 (2006m:41012)
dc.descriptionZbl#: Zbl 1107.41007
dc.description.abstractWe characterize the set of functions which can be approximated by smooth functions and by polynomials with the norm $$ \ \ {W k,\infty}_w}=\sum_ {j=0} \ (j)}\ {L \infty}_{w_j}}, $$ for a wide range of (possibly unbounded) vector weights $w=(w_j's)$. We allow a great deal of independence among the weights $w=(w_j's)$.
dc.description.sponsorshipResearch partially supported by a grant from DGI(BFM 2003-04870), Spain. Ana Portilla and José M. Rodríguez are also partially supported by a grant from DGI(BFM 2003-06335-C03-02), Spain.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationElectronic Transactions in Numerical Analysis, 2006, vol. 24, p. 103-107
dc.identifier.urihttps://hdl.handle.net/10016/6453
dc.language.isoeng
dc.publisherKent State University
dc.relation.publisherversionhttp://etna.mcs.kent.edu/vol.24.2006/pp103-107.dir/pp103-107.html
dc.rights© Kent State University
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherWeierstrass' theorem
dc.subject.otherWeight
dc.subject.otherSobolev spaces
dc.subject.otherWeighted Sobolev spaces
dc.titleWeierstrass' theorem in weighted Sobolev spaces with k derivatives: announcement of results
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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