Geodesic
Weierstrass' theorem in weighted Sobolev spaces with \(k\) derivatives: announcement of results
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 103-107
We characterize the set of functions which can be approximated by smooth functions and by polynomials with the norm % 132465

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$0 \(') for a wide range of (even non-bounded) weights \ 's. We allow a great deal of independence among the weights 7 \ 's.$

Classification : 41A10, 46E35, 46G10
Keywords: Weierstrass' theorem, weight, Sobolev spaces, weighted Sobolev spaces 
@article{ETNA_2006__24__a1,
     author = {Portilla,  Ana and Quintana,  Yamilet and Rodriguez,  Jose M. and Touris,  Eva},
     title = {Weierstrass' theorem in weighted {Sobolev} spaces with \(k\) derivatives: announcement of results},
     journal = {Electronic transactions on numerical analysis},
     pages = {103--107},
     year = {2006},
     volume = {24},
     zbl = {1107.41007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a1/}
}
TY  - JOUR
AU  - Portilla,  Ana
AU  - Quintana,  Yamilet
AU  - Rodriguez,  Jose M.
AU  - Touris,  Eva
TI  - Weierstrass' theorem in weighted Sobolev spaces with \(k\) derivatives: announcement of results
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 103
EP  - 107
VL  - 24
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__24__a1/
LA  - en
ID  - ETNA_2006__24__a1
ER  - 
%0 Journal Article
%A Portilla,  Ana
%A Quintana,  Yamilet
%A Rodriguez,  Jose M.
%A Touris,  Eva
%T Weierstrass' theorem in weighted Sobolev spaces with \(k\) derivatives: announcement of results
%J Electronic transactions on numerical analysis
%D 2006
%P 103-107
%V 24
%U http://geodesic.mathdoc.fr/item/ETNA_2006__24__a1/
%G en
%F ETNA_2006__24__a1
Portilla,  Ana; Quintana,  Yamilet; Rodriguez,  Jose M.; Touris,  Eva. Weierstrass' theorem in weighted Sobolev spaces with \(k\) derivatives: announcement of results. Electronic transactions on numerical analysis, Tome 24 (2006), pp. 103-107. http://geodesic.mathdoc.fr/item/ETNA_2006__24__a1/