Hermite插值算子在加权L_p范数下的导数逼近  

The Derivative Approximation of Interpolation Operators

作　　者：王鑫[1] 崔然[2] 

机构地区：[1]保定学院数学与计算机系 [2]天津武警医学院基础部

出　　处：《保定学院学报》2011年第3期19-23,共5页Journal of Baoding University

摘　　要：讨论以第二类Chebyshev多项式的零点为插值结点组的Hermite插值算子在加权Lp范数下的导数逼近问题的一种特殊情况,得到利用最佳逼近的精确阶估计.In this paper, we mainly consider the derivative approximation of continuous differentiable functions by the Hermite interpolation which is based on the zeros of Chebyshev polynomials of the second kinds. We obtain the sharp estimate which is in term of the best approximation.

关 键 词：HERMITE插值算子 导数逼近 CHEBYSHEV多项式 

分 类 号：O174.41[理学—数学]