Bivariate Simplex Spline Quasi-Interpolants  

作　　者：D.Sbibih A.Serghini A.Tijini 

机构地区：[1]University Mohammed I,ESTO,MATSI Laboratory,Oujda,Morocco

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2010年第1期97-118,共22页高等学校计算数学学报（英文版）

摘　　要：In this paper we use the simplex B-spline representation of polynomials or piecewise polynomials in terms of their polar forms to construct several differential or discrete bivariate quasi interpolants which have an optimal approximation order.This method provides an efficient tool for describing many approximation schemes involving values and(or) derivatives of a given function.In this paper we use the simplex B-spline representation of polynomials or piecewise polynomials in terms of their polar forms to construct several differential or discrete bivariate quasi interpolants which have an optimal approximation order. This method provides an efficient tool for describing many approximation schemes involving values and （or） derivatives of a given function.

关 键 词：Polar form QUASI-INTERPOLATION simplex B-spline. 

分 类 号：O174.42[理学—数学] TH74[理学—基础数学]