B样条拟插值算子的逼近  

Approximation of Quasi-interpolation Operator by B-spline

作　　者：郭红焱 GUO Hongyan(School of Preparatory Education,Yunnan University of Nationalities,Kunming Yunnan 650031,China)

机构地区：[1]云南民族大学预科教育学院,云南昆明650031

出　　处：《曲靖师范学院学报》2022年第3期12-15,共4页Journal of Qujing Normal University

基　　金：云南省教育厅科学研究基金项目“B样条拟插值算子的逼近”(2022J0452).

摘　　要：以B样条拟插值算子作为工具,利用B样条基函数构造在非均匀节点下的高次拟插值算子并获得Jackon型估计,依据推导出来的Z_(j)(h)的组合形式,求出了其在经典空间上较高逼近阶.The spatial approximation was studied and obtained by using the the B-spline interpolation operator based on the deduced combination of the and Jackon type theorem and then the higher approximation order is obtained in classical space.

关 键 词：B样条拟插值算子 经典空间 逼近阶 

分 类 号：O174.41[理学—数学]