Article ID Journal Published Year Pages File Type
9500711 Journal of Approximation Theory 2005 21 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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