摘要
This paper discusses generalized interpolating splines which determined by n order linear differential operators, and the best operators of interpolating approximation in W2m spaces, The explicit constructive method for the reproducing kernel in W2m space is presented, and proves the uniformity of spline interpolating operators and the best operators of interpolating approximation W2m space by reproducing kernel. The explicit expression of approximation error on a bounded ball in W2m space, and error estimation of spline operator of approximation are obtained.
This paper discusses generalized interpolating splines which determined by n order linear differential operators, and the best operators of interpolating approximation in W_2~m spaces, The explicit constructive method for the reproducing kernel in W_2~m space is presented, and proves the uniformity of spline interpolating operators and the best operators of interpolating approximation W_2~m space by reproducing kernel. The explicit expression of approximation error on a bounded ball in W_2~m space, and error estimation of spline operator of approximation are obtained.
出处
《计算数学》
CSCD
北大核心
2001年第4期385-392,共8页
Mathematica Numerica Sinica
基金
国家自然科学基金资助课题。
