摘要
文[1],[2]、[3]、[4]都讨论了有关 S_2~1(△_(mn)~(2))上插值的一些问题,不过,[1]和[2]是基于均匀剖分,而[3]和[4]则又需用到被插函数的导数值,本文将在非均匀剖分之下,首先讨论 S_2~1(△_(mn)~(2))上一类插值样条及其导函数的逼近度,其次给出了一个二元数值积分公式,这些结果均无需用到被插函数的导数值.作为附带结果,本文最后也给出了一个含导数值的插值样条对被插函数的误差估计式.
In this paper,under the unequal triangulations,we construct a class interpolation splines,of S_2~1,study the approximation degree and give a formula of the binary numerical integration,Finally,we provide a method for calculate the interpolation splines which satisfy interpolation conditions that include differential.
