摘要
构造了一个二元组合型三角插值多项式算子,使该算子对任意的关于变量x、y均以2π为周期的连续函数f(x,y)都能在全平面上一致地逼近,且具有最佳收敛阶。
In this paper,double trigonometric interpolation polynomials are constructed,to enable the arbitrary continuous periodic function f(x,y) with period 2π,converge on the f(x,y) uniformly on total plane.The convergence order is the best.
关键词
三角插值
收敛阶
插值多项式
多元逼近
double combination operator,trigonometric interpolation,convergence order