Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes

作者：

Highlights：

• Filtered polynomial interpolation on the square for reducing the Gibbs phenomenon.

• Quasi-projection polynomial approximation methods for locally continuous functions.

• Near-best uniform approximation by bivariate interpolation at Chebyshev nodes.

• Necessary and sufficient conditions for uniformly bounded Lebesgue constants.

摘要

•Filtered polynomial interpolation on the square for reducing the Gibbs phenomenon.•Quasi-projection polynomial approximation methods for locally continuous functions.•Near-best uniform approximation by bivariate interpolation at Chebyshev nodes.•Necessary and sufficient conditions for uniformly bounded Lebesgue constants.

论文关键词：Multivariate polynomial interpolation,Filtered approximation,Lebesgue constants,Chebyshev polynomials,Gibbs phenomenon

论文评审过程：Received 28 January 2020, Revised 21 May 2020, Accepted 7 June 2020, Available online 20 June 2020, Version of Record 20 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125457