Birkhoff插值多项式关于导数的逼近阶

The Order of Approximarion on Derivative for Birkhoff interpolating Polynomials

本文讨论了基于单位根的(o,m_1,m_2,……m_q)Birkhoff插值多项式关于导数的连续模的逼近性质,得到了其平均收敛和一致收敛于f(z)∈A^((m_q)),(D)的逼近阶。

In this paper,we study the approximation properties on derivstive for(0,m1,m2,-m,)Birkhoff interpolating polynomials in roots of unity,and obtain the order of approximation that the polynomials coaverge to f (z)A(mq)(D)in the sense of mean convergence and uniformity.