Quartic rational Said-Ball-like basis with tension shape parameters and its application

Release time:2016-04-25

Affiliation of Author(s):中南大学数学与统计学院

Journal:Journal of Applied Mathematics

Abstract:Four new quartic rational Said-Ball-like basis functions, which include the cubic Said-Ball basis functions as a special case, are constructed in this paper. The new basis is applied to generate a class of continuous quartic rational Hermite interpolation splines with local tension shape parameters. The error estimate expression of the proposed interpolant is given and the sufficient conditions are derived for constructing a positivity- or monotonicity- preserving interpolation spline. In addition, we extend the quartic rational Said-Ball-like basis to a triangular domain which has three tensi

Co-author:Yuanpeng Zhu, Xuli Han, Shengjun Liu*

Indexed by:Unit Twenty Basic Research

Document Code:857840

Document Type:J

Issue:2014

Translation or Not:no

Date of Publication:2014-01-01

Links to published journals:http://cn.bing.com/academic/profile?id=2061131211&v=paper_preview&mkt=zh-cn