介于两类经典插值算子之间的算子

Operator between Two Classical Interpolation Operators

研究了如何利用Sablonniere P.引入并研究的一种新的拟Bernstein插值算子Bn(k)来完成满足某些给定条件的多项式曲线的设计问题.

Lagrange operator and Bernstein operator are two important operators used to deal with polynomial approximation problem, and they have advantages and disadvantages of their own. Therefore, Sablonniere P. introduces and studies a new qusi-Bernstein interpolation operator Bn^（k） , which is quasi-interpolation operator between Lagrange operator and Bernstein operator. This paper studies how to make use of these operators to design polynomial curve under given conditions.