On the linear independence of the derivatives of Bernstein polynomials
We prove that any μ r th order derivatives of degree- n Bernstein polynomials are linearly independent if and only if μ ≤ n − r + 1 , where r ∈ { 1 , 2 , … , n } .
Gespeichert in:
| Autor*in: |
Lu, Lizheng [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics - Hu, Xing ELSEVIER, 2015transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:408 ; year:2022 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.cam.2022.114102 |
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| 520 | |a We prove that any μ r th order derivatives of degree- n Bernstein polynomials are linearly independent if and only if μ ≤ n − r + 1 , where r ∈ { 1 , 2 , … , n } . | ||
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on the linear independence of the derivatives of bernstein polynomials |
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On the linear independence of the derivatives of Bernstein polynomials |
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We prove that any μ r th order derivatives of degree- n Bernstein polynomials are linearly independent if and only if μ ≤ n − r + 1 , where r ∈ { 1 , 2 , … , n } . |
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We prove that any μ r th order derivatives of degree- n Bernstein polynomials are linearly independent if and only if μ ≤ n − r + 1 , where r ∈ { 1 , 2 , … , n } . |
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We prove that any μ r th order derivatives of degree- n Bernstein polynomials are linearly independent if and only if μ ≤ n − r + 1 , where r ∈ { 1 , 2 , … , n } . |
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On the linear independence of the derivatives of Bernstein polynomials |
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