论文标题
实际线上加权多项式近似的收敛速率
Convergence rate for weighted polynomial approximation on the real line
论文作者
论文摘要
在本说明中，我们研究了伯恩斯坦近似问题的定量版本，当多项式在实际线上的加权空间中密集，完成了S.〜n。〜mergelyan（1960）的结果。我们在对数尺度上估计cauchy内核的加权多项式近似的误差。
In this note we study a quantitative version of Bernstein's approximation problem when the polynomials are dense in weighted spaces on the real line completing a result of S.~N.~Mergelyan (1960). We estimate in the logarithmic scale the error of the weighted polynomial approximation of the Cauchy kernel.
