Title of article
Interlacing property for B-splines Original Research Article
Author/Authors
Simon Foucart، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
21
From page
1
To page
21
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
* Markov interlacing property , * Extended complete Chebyshev spaces , * Divided differences , * B-splines
Journal title
Journal of Approximation Theory
Serial Year
2005
Journal title
Journal of Approximation Theory
Record number
852324
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