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- Zhiqiang Gao, Guantie Deng
- Journal of Approximation Theory
- 2008

- Zhiqiang Gao, Guantie Deng
- Journal of Approximation Theory
- 2005

We obtain a necessary and sufficient condition for the lacunary polynomials to be dense in weighted Lp spaces of functions on the real line. This generalizes the solution to the classical Bernstein problem given by Izumi, Kawata and Hall. © 2005 Elsevier Inc. All rights reserved.

and Applied Analysis 3 for any potential a · ≥ 0. The “inverse” inequality in some sense is much more elaborate. When D is a bounded domain in R, Cranston see 8 , the case n 2 is implicitly contained in 9 have proved that GaD ·, · ≥ M D GD ·, · , 1.6 where M D M D, a is a positive constant and independent of points in D. If a 0, then obviously M D ≡ 1.… (More)

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