Publication:
Weierstrass’ theorem with weights

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URI: http://hdl.handle.net/10016/6454
ISSN: 0021-9045
DOI: 10.1016/j.jat.2004.01.003
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weierstrass_touris_jat_2004.pdf (208.06 KB)
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2004-03
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Elsevier
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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.
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25 pages, no figures.-- MSC2000 codes: 41A10, 41A28, 41A30.
MR#: MR2053535 (2005g:41082)
Zbl#: Zbl 1045.41005
Keywords
Weierstrass’ theorem, Weight
Bibliographic citation
Journal of Approximation Theory, 2004, vol. 127, n. 1, p. 83-107
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