Properties of dual pseudo-splines

Bin Dong, Nira Dyn, Kai Hormann*

*Corresponding author for this work

Research output: Contribution to journalLetterpeer-review


Dual pseudo-splines are a new family of refinable functions that generalize both the even degree B-splines and the limit functions of the dual 2n-point subdivision schemes. They were introduced by Dyn et al. (2008) [10] as limits of subdivision schemes. In Dyn et al. (2008) [10], simple algebraic considerations are needed to derive the approximation order of the members of this family. In this paper, we use Fourier analysis to derive further important properties such as regularity, stability, convergence, and linear independence.

Original languageEnglish
Pages (from-to)104-110
Number of pages7
JournalApplied and Computational Harmonic Analysis
Issue number1
StatePublished - Jul 2010


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