RT Journal Article
T1 Weierstrass' theorem in weighted Sobolev spaces with k derivatives: announcement of results
A1 Portilla, Ana
A1 Quintana, Yamilet
A1 Rodríguez, José M.
A1 Tourís, Eva
AB 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 $w=(w_j's)$.
PB Kent State University
YR 2006
FD 2006
LK https://hdl.handle.net/10016/6453
UL https://hdl.handle.net/10016/6453
LA eng
NO 5 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
NO MR#: MR2219919 (2006m:41012)
NO Zbl#: Zbl 1107.41007
NO Research partially supported by a grant from DGI(BFM 2003-04870), Spain. Ana Portilla and José M. Rodríguez are also partially supported by agrant from DGI(BFM 2003-06335-C03-02), Spain.
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RD 23 may. 2024