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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6454
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| Title: | Weierstrass’ theorem with weights |
| Author(s): | Portilla, Ana
Quintana, Yamilet
Rodríguez, José M.
Tourís, Eva |
| Publisher: | Elsevier |
| Issued date: | Mar-2004 |
| Citation: | Journal of Approximation Theory, 2004, vol. 127, n. 1, p. 83-107 |
| URI: | http://hdl.handle.net/10016/6454 |
| ISSN: | 0021-9045 |
| DOI: | 10.1016/j.jat.2004.01.003 |
| Description: | 25 pages, no figures.-- MSC2000 codes: 41A10, 41A28, 41A30.
MR#: MR2053535 (2005g:41082)
Zbl#: Zbl 1045.41005 |
| Abstract: | We characterize the set of functions which can be approximated by continuous functions in the L∞ norm with respect to almost every weight. This allows to characterize the set of functions which can be approximated by polynomials or by smooth functions for a wide range of weights. |
| Sponsor: | Research by first, third and fourth authors partially supported by a grant from DGI (BFM 2000-0022), Spain. Research by third author also partially supported by a grant from DGI (BFM 2000-0206-C04-01), Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.jat.2004.01.003 |
| Keywords: | Weierstrass’ theorem
Weight |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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