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2005 On weighted polynomial approximation with gaps
Guantie Deng
Nagoya Math. J. 178: 55-61 (2005).


Let $\alpha$ be a nonnegative continuous function on $\mathbb{R}$. In this paper, the author obtains a necessary and sufficient condition for polynomials with gaps to be dense in $C_{\alpha}$, where $C_{\alpha}$ is the weighted Banach space of complex continuous functions $f$ on $\mathbb{R}$ with $f(t) \exp (-\alpha (t))$ vanishing at infinity.


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Guantie Deng. "On weighted polynomial approximation with gaps." Nagoya Math. J. 178 55 - 61, 2005.


Published: 2005
First available in Project Euclid: 16 August 2005

zbMATH: 1082.41017
MathSciNet: MR2145315

Primary: 30B60 , 41A30

Keywords: approximation , closure , polynomial with gaps

Rights: Copyright © 2005 Editorial Board, Nagoya Mathematical Journal

Vol.178 • 2005
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