Interlacing property for B-splines
نویسنده
چکیده
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 Bsplines interlace, then the zeros of their derivatives of any order also interlace. The same results are obtained for Chebyshevian B-splines.
منابع مشابه
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 135 شماره
صفحات -
تاریخ انتشار 2005