Work

On the positivity of B-spline Wronskians

Year: 2024

Type: article

Abstract: 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.

Source: CALCOLO

DOI: 10.1007/s10092-024-00613-0

Author: Michael S. Floater

Institution: University of Oslo

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Universitetet i Oslo