On the positivity of B-spline Wronskians

被引：0
|
作者：
Floater, Michael S. [1 ]
机构：
[1] Univ Oslo, Dept Math, Moltke Moes Vei 35, N-0851 Oslo, Norway
来源：
CALCOLO | 2024年 / 61卷 / 03期
关键词：
B-splines; Wronskians; Collocation; Schoenberg-Whitney conditions; Total positivity; COMPUTATION;
D O I：
10.1007/s10092-024-00613-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A proof that Wronskians of non-zero B-splines are positive is given, using only recursive formulas for B-splines and their derivatives. This could be used to generalize the de Boor-DeVore geometric proof of the Schoenberg-Whitney conditions and total positivity of B-splines to Hermite interpolation. For Wronskians of maximal order with respect to a given degree, positivity follows from a simple formula.
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页数：9
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