Piecewise trigonometric Hermite interpolation

被引：4
|
作者：
Han, Xuli [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷
基金：
中国国家自然科学基金;
关键词：
Trigonometric basis; Trigonometric polynomial; Trigonometric interpolation; Trigonometric Hermite interpolation; POLYNOMIAL CURVES; BARYCENTRIC FORMULAS; SHAPE PARAMETER; SPLINES; SUMS;
D O I：
10.1016/j.amc.2015.06.125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the symmetric, nonnegative and normalized basis of the trigonometric polynomial space, the piecewise trigonometric Hermite interpolation methods are presented. The Cn-1 and C-n continuous piecewise trigonometric Hermite interpolants of degree n are constructed and the interpolation methods are local. The integral and the differential representations of the errors of the trigonometric Hermite interpolants are given. Several examples are supplied to support the practical value of the given interpolation methods. (C) 2015 Elsevier Inc. All rights reserved.
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页码：616 / 627
页数：12
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