On the linear independence of the derivatives of Bernstein polynomials
Lu, Lizheng 1Li, Lin1
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作者信息
1. Zhejiang Gongshang Univ
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Abstract
We prove that any mu rth order derivatives of degree -n Bernstein polynomials are linearly independent if and only if mu <= n - r + 1, where r is an element of {1, 2, ... , n}. (C) 2022 Elsevier B.V. All rights reserved.
Key words
Bernstein basis/Derivatives of Bernstein polynomials/Linear independence/CURVES