关于二元连续周期函数的三角插值逼近(英文)

On Triangle Interpolation Approximation of the Double Continuous Periodic Function

通过改变插值基函数的方法构造了一个组合型的二元三角插值多项式算子Nmn(f;x,y),并研究了二元连续周期函数对该算子的收敛性及收敛阶的估计.

In this paper,a combinational operator N_(mn)(f;x,y) of the double triangle interpolation polynomial is constructed by change of the fundamental function.Furthermore,we study its convergence quality for the double continuous periodic function and estimate its convergence order.