Journal of Computational and Applied Mathematics2022,Vol.4084.DOI:10.1016/j.cam.2022.114102

On the linear independence of the derivatives of Bernstein polynomials

Lu, Lizheng Li, Lin
Journal of Computational and Applied Mathematics2022,Vol.4084.DOI:10.1016/j.cam.2022.114102

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
  • 折叠

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

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量12
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