Interlacing property for B-splines Academic Article

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. 2005 Elsevier Inc. All rights reserved.

authors

• Foucart, Simon

published proceedings

• JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

• Foucart, S.

citation count

• 0

complete list of authors

• Foucart, S

publication date

• January 2005

publisher

• Elsevier  Publisher

published in

• Journal of Approximation Theory  Journal

keywords

• B-splines
• Divided Differences
• Extended Complete Chebyshev Spaces
• Markov Interlacing Property

Digital Object Identifier (DOI)

• 10.1016/j.jat.2005.03.001

start page

• 1

end page

• 21

volume

• 135

issue

• 1

URL

• http://dx.doi.org/10.1016/j.jat.2005.03.001