B样条拟插值算子在Lp空间的逼近

曲靖师范学院学报 ›› 2018, Vol. 37 ›› Issue (3): 12-14.

B样条拟插值算子在L_p空间的逼近

郭红焱

云南民族大学预科教育学院,云南昆明 650031

收稿日期:2018-01-11 出版日期:2018-05-26
作者简介:郭红焱,云南民族大学预科教育学院助教,主要从事函数逼近论研究.

Approximation of Quasi-interpolation Operator in the Space of the L_p by B-spline

Guo Hongyan

College of Preparatory Education, Yunnan Minzu University,Kunming Yunnan 650031,China

Received:2018-01-11 Published:2018-05-26

摘要/Abstract

摘要： 研究了以拟插值算子作为工具,针对m阶B样条能表示任意m-1次多项式,利用最小二乘法的向量表示,并依据推导出来的w_j(f)的组合形式,求出了在L_p空间下B样条拟插值算子的逼近阶.

关键词: B样条, 拟插值算子, L_p空间

Abstract: Based on the deduced combination of the w_j(f), this paper studies and obtains B-spline interpolation operator approximation and its approximation order in the L_p space by using the interpolation operator as a tool, aiming at m-order B-spline energy which can represent any m-1 order polynomial.

Key words: B-Spline, polynomial reproducing, L_p space

中图分类号:

O174.41

郭红焱. B样条拟插值算子在L_p空间的逼近[J]. 曲靖师范学院学报, 2018, 37(3): 12-14.

Guo Hongyan. Approximation of Quasi-interpolation Operator in the Space of the L_p by B-spline[J]. JOURNAL OF QUJING NORMAL UNIVERSITY, 2018, 37(3): 12-14.