On Weighted Polynomial Approximation With Gaps
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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.
- Beijing Normal University China (People's Republic of)
Malliavin's method, 30B60, Bernstein problem, closure, polynomial with gaps, 41A30, weighted polynomial approximation with gaps, approximation, Approximation by other special function classes, Completeness problems, closure of a system of functions of one complex variable
Malliavin's method, 30B60, Bernstein problem, closure, polynomial with gaps, 41A30, weighted polynomial approximation with gaps, approximation, Approximation by other special function classes, Completeness problems, closure of a system of functions of one complex variable
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