Shape-Preserving Interpolation by Cubic Splines

被引：13

作者：

Volkov, Yu. S. ^{[1
,2
]}

Bogdanov, V. V. ^{[1
]}

Miroshnichenko, V. L. ^{[1
,2
]}

Shevaldin, V. T. ^{[3
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk State Univ, Novosibirsk, Russia

[3] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia

来源：

MATHEMATICAL NOTES | 2010年 / 88卷 / 5-6期

关键词：

cubic spline; shape-preserving interpolation; k-monotonicity; B-spline; matrix with diagonal dominance;

D O I：

10.1134/S0001434610110209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of shape-preserving interpolation by cubic splines. We propose a unified approach to the derivation of sufficient conditions for the k-monotonicity of splines (the preservation of the sign of any derivative) in interpolation of k-monotone data for k = 0, ... , 4.

引用

页码：798 / 805

页数：8

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