Properties of dual pseudo-splines

Dong, Bin; Dyn, Nira; Hormann, Kai

doi:10.1016/j.acha.2009.08.010

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Journal article

Properties of dual pseudo-splines

Dong, Bin Department of Mathematics, University of California, San Diego, USA
Dyn, Nira School of Mathematical Sciences, Tel Aviv University, Israel
Hormann, Kai Facoltà di scienze informatiche, Università della Svizzera italiana, Svizzera

2010

Published in:

Applied and computational harmonic analysis. - Elsevier. - 2010, vol. 29, no. 1, p. 104-110

English 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. [10] as limits of subdivision schemes. In [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.

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