Interlacing property for B-splines Academic Article uri icon

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.

author list (cited authors)

  • Foucart, S.

citation count

  • 0

publication date

  • July 2005