A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions
Received:November 16, 2016  Revised:December 19, 2016
Key Words: Daubechies scaling functions   MRA scaling function   B-spline   Lorentz polynomial  
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Author NameAffiliation
Tianxiao HE Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702-2900, USA 
Tung NGUYEN Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706-1325, USA 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:2095-2651.2017.01.003
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