Please use this identifier to cite or link to this item: http://hdl.handle.net/10016/6453

 Google™ Scholar. Others By: Portilla, Ana - Quintana, Yamilet - Rodríguez, José M. - Tourís, Eva
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 Title: Weierstrass' theorem in weighted Sobolev spaces with k derivatives: announcement of results Author(s): Portilla, AnaQuintana, YamiletRodríguez, José M.Tourís, Eva Publisher: Kent State University Issued date: 2006 Citation: Electronic Transactions in Numerical Analysis, 2006, vol. 24, p. 103-107 URI: http://hdl.handle.net/10016/6453 Description: 5 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR2219919 (2006m:41012)Zbl#: Zbl 1107.41007 Abstract: We 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 $w=(w_j's)$. Sponsor: Research 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. Review: PeerReviewed Publisher version: http://etna.mcs.kent.edu/vol.24.2006/pp103-107.dir/pp103-107.html Keywords: Weierstrass' theoremWeightSobolev spacesWeighted Sobolev spaces Rights: © Kent State University Appears in Collections: DM - GAMA - Artículos de Revistas

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