Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials

Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials

Abstract In this paper, we construct a new family of refinable functions from generalized Bernstein polynomials, which include pseudo-splines of Type II. A comprehensive analysis of the refinable functions is carried out. We then prove the convergence of cascade algorithms associated with the new ma...

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Bibliographic Details
Main Authors: Ting Cheng, Xiaoyuan Yang
Format: Article
Language:English
Published: SpringerOpen 2016-06-01
Series:Journal of Inequalities and Applications
Subjects:
refinable functions
generalized Bernstein polynomials
cascade algorithms
Riesz wavelet bases
Online Access:http://link.springer.com/article/10.1186/s13660-016-1106-0

Internet

http://link.springer.com/article/10.1186/s13660-016-1106-0

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