边值Riemann可积函数的拟插值多项式逼近阶

Order of Approximation by Quasi-Interpolating Polynomials to Riemann Integrable Functions On the Boundary of a Domain

本文在一般的Jordan区域上研究了Lagrange拟插值对于边值是Riemann可的解析函数的L_p逼近,得到了用平均连续模τ_k((?),1/n)_p对逼近速度的估计。最后还讨论了Hermite-Fej(?)r插值逼近的价。

In this paper. the average modulus of continuity are used to estimate Lp convergence rate of quasi-interpolating polynomials to the functions bounded analytic in the Sp domain and Riemann integrable on the boundary. Further, the result can be easily modified to give error estimation for Hermite-Fejer interpolation at the Fejer nodes.