A multinomial spline approximation scheme using spline quasi-interpolants

被引：0
|
作者：
Xu, Min [2 ]
Fang, Qin [1 ]
Wang, Ren-Hong [3 ]
Jiang, Zi-Wu [3 ]
Liu, Ming-Zeng [4 ]
机构：
[1] Dalian Univ, Coll Informat, Dalian 116622, Peoples R China
[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
[3] Dalian Univ Technol, Inst Math Sci, Dalian 116024, Peoples R China
[4] Dalian Univ Technol, Sch Automot Engn, Dalian 116024, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期
关键词：
B-splines; Bernstein polynomials; Quasi-interpolants; Chebyshev knots; PARTITIONS;
D O I：
10.1016/j.amc.2011.10.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a multinomial spline approximation scheme based on spline quasi-interpolants. The scheme can be considered as an extension of the usual Bernstein approximation for complex exponentials. Error estimates and numerical examples are given to show that this new scheme could produce highly accurate results. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5081 / 5089
页数：9
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