B样条拟插值算子的逼近

曲靖师范学院学报 ›› 2022, Vol. 41 ›› Issue (3): 12-15.

B样条拟插值算子的逼近

郭红焱

云南民族大学预科教育学院,云南昆明 650031

收稿日期:2022-03-13 出版日期:2022-05-26 发布日期:2022-06-02
作者简介:郭红焱,云南民族大学预科教育学院讲师,主要从事逼近论研究.
基金资助:
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).

Approximation of Quasi-interpolation Operator by B-spline

GUO Hongyan

School of Preparatory Education, Yunnan University of Nationalities,Kunming Yunnan 650031,China

Received:2022-03-13 Published:2022-05-26 Online:2022-06-02

摘要/Abstract

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.

关键词: B样条拟插值算子, 经典空间, 逼近阶

Abstract: 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.

Key words: B-Splinepolynomial reproducing, classical space, approximation order

中图分类号:

O174.41

郭红焱. B样条拟插值算子的逼近[J]. 曲靖师范学院学报, 2022, 41(3): 12-15.

GUO Hongyan. Approximation of Quasi-interpolation Operator by B-spline[J]. Journal of Qujing Normal University, 2022, 41(3): 12-15.