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On Weighted Polynomial Approximation With Gaps

Published online by Cambridge University Press:  11 January 2016

Guantie Deng
Guantie Deng*
Affiliation:
Department of Mathematics, Beijing Normal University, 100875 Beijing, The People’s Republic of China, [email protected]
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Abstract

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Let α be a nonnegative continuous function on ℝ. In this paper, the author obtains a necessary and sufficient condition for polynomials with gaps to be dense in Cα, where Cα is the weighted Banach space of complex continuous functions ƒ on ℝ with ƒ(t) exp(−α(t)) vanishing at infinity.

Keywords

30B6041A30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 178 , 2005 , pp. 55 - 61
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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