摘要
de Boof 和 Fix 提出一种拟插值法。本文把这种方法推广到二维(称为二元拟插值),并给出了误差估计。二元拟插值仍然具有一维时同时以最优逼近阶逼近光滑函数及其若干阶导数的性质。
de Boor and.Fix proposed a method referring to Quasi-interpolation.In this paper,we extend it to bivariate interpolation.The interpolation keerps the properties of approximating the smooth functions and their several order der- ivatives with optimal approximate orders.
关键词
二元拟插值
逼近
误差估计
bivariate quasi-interpolation
approximation
error
estimation
