R^s空间中Lagrange插值问题研究

Study of Lagrange Interpolation Problem in R^s

研究空间Rs中多项式空间中的Lagrange插值问题.给出了R1和R2上Lagrange插值多项式的构造,同时,给出了R2上插值问题的几个例子.另外,给出了矩形网点上的Lagrange插值多项式和三角形网点上的Lagrange插值多项式.讨论了Rs空间中的Lagrange插值多项式及其余项.

The problem and the construction of of Lagrange interpolation of polynomial space in space R^1 Lagrange interpolation polynomial in space R^1 and space is studied, R^2 is proposed. With several examples of interpolation problem in space R^2. In addition, the Lagrange interpolation polynomial on rectangular grid points and the Lagrange interpolation polynomial on trigonometric grid points are presented. The term in space R^sare discussed. Lagrange interpolation polynomial and its remainder