关于一种广义Lagrange插值多项式的平均逼近阶

On the Mean Approximation Orders of a Generalized Lagrange Interpolating Polynomial

本文定义了一种Lagrange插值多项式的变型算子,使它不仅能逼近连续函数,而且可以用它逼近Lebesgue可积函数。得到了这两种逼近的逼近阶分别是ω(f;1╱n)和ω(f,1╱n)_p。

In this paper, a modification ot Lagrangc interpolating Polynomial has been introduced. The new polynomial Can be used to approximate not Only the Continuous functions but also the functions in Lp Spaces. Both approximation ordersω(f;1/a) and ω(f;1/a)p have been got also