摘要
构造了一种组合型三角插值多项式算子Ｈｎ（ｆ；ｒ，ｘ），Ｈｎ（ｆ；ｒ，ｘ）对每个连续的周期函数都能在全实轴上一致地收敛到ｆ（ｘ），若ｆ（ｘ）∈Ｃｊ２π，ｊ≤ｒ，则Ｈｎ（ｆ；ｒ。
Abstract In this paper, the operator of combination triangle interpolation polynomial is constructed, and it can uniformly converge to f(x) in the whole real number axis for each of continuous periodic functions. If f(x)∈C j 2 π , j≤r, then the convergence order of h n(f;r,x) is able to achieve the best convergence order (where r is a nonnegative integer).
出处
《工程数学学报》
CSCD
北大核心
1997年第1期33-37,共5页
Chinese Journal of Engineering Mathematics
