A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions

Tian-Xiao He, Tung Nguyen

Research output: Journal ArticleArticlepeer-review

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.
Original languageAmerican English
JournalJournal of Mathematical Research with Applications
Volume37
DOIs
StatePublished - Jan 2017

Keywords

  • Daubechies scaling functions
  • MRA scaling function
  • B-spline
  • Lorentz polynomial

Disciplines

  • Applied Mathematics
  • Mathematics

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