On weighted approximation by lacunary polynomials on the rays emerging from the origin

作者：Gao Zhiqiang^*; Deng Guantie

来源：Studia Scientiarum Mathematicarum Hungarica, 2008, 45(2): 197-205.

DOI：10.1556/SScMath.45.2008.2.49

• weighted approximation
• lacunary polynomials
• the rays

We obtain a necessary and sufficient condition for the lacunary polynomials to be dense in weighted Banach spaces of functions continuous on the rays emerging from the origin. This generalizes the solution to the classical Bernstein problem given by S. lzumi, T. Kawata and T. Hall.

• 单位
  北京师范大学