Convexity-preserving approximation by univariate cubic splines

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:287

Article

Han, Xuli

关键词: Convexity-preserving;    Polynomial approximation;    Cubic spline;   

DOI  :  10.1016/j.cam.2015.03.051

来源: Elsevier

【 摘 要 】

A convexity-preserving approximation method is presented. Similar to the cubic spline interpolation, the given approximation function is univariate cubic spline with C-2 continuity. A very simple computing method is described. The approximation order and polynomial reproducing property of this convexity-preserving approximant are discussed. The computing method for interpolating a small quantity of data is given. Some numerical examples are given to show the effectivity. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free