差分方程与奇次叠基样条扦值误差的渐近展式  

Difference Equation And Asymptotic Expansion of The Error for Odd Cardinal SplineonSpline Interpolation

作　　者：李以泉[1] 

机构地区：[1]湘潭大学数学系,湘潭411105

出　　处：《湘潭大学自然科学学报》1999年第4期7-12,共6页Natural Science Journal of Xiangtan University

摘　　要：利用Euler Frobenius 多项式给出由基样条扦值所导出的有限差分方程的幂级数形式特解。In this paper,the special solution with a power series form of finite difference equation which derived from Cardinal spline Interpolation was shown by taking advantage of EulerFrobenius polynomail.Furthermore,the asymptotic expansion form of the k fold cardinal splineonspline interpolation error was given, k =0(1)3.

关 键 词：基样条 叠基样条 函数逼近 差分方程 扦值误差 

分 类 号：O241.5[理学—计算数学] O241.3[理学—数学]