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