Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500711 | Journal of Approximation Theory | 2005 | 21 Pages |
Abstract
We prove that the zeros of the derivatives of any order of a B-spline are increasing functions of its interior knots. We then prove that if the interior knots of two B-splines interlace, then the zeros of their derivatives of any order also interlace. The same results are obtained for Chebyshevian B-splines.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Simon Foucart,