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...
Main Authors: | Ting Cheng, Xiaoyuan Yang |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2016-06-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-016-1106-0 |
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