Tianxiao HE,Tung NGUYEN.A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions[J].数学研究及应用,2017,37(1):29~39 |
A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions |
A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions |
投稿时间:2016-11-16 修订日期:2016-12-19 |
DOI:10.3770/j.issn:2095-2651.2017.01.003 |
中文关键词: Daubechies scaling functions MRA scaling function B-spline Lorentz polynomial |
英文关键词:Daubechies scaling functions MRA scaling function B-spline Lorentz polynomial |
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中文摘要: |
We use Lorentz polynomials to give an efficient way to prove Daubechies’ results on the existence of spline type orthogonal scaling functions and to evaluate a class of Daubechies scaling functions in a unified approach. |
英文摘要: |
We use Lorentz polynomials to give an efficient way to prove Daubechies’ results on the existence of spline type orthogonal scaling functions and to evaluate a class of Daubechies scaling functions in a unified approach. |
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