Error bounds for a convexity-preserving interpolation and its limit function

Error bounds between a nonlinear interpolation and the limit function of its associated subdivision scheme are estimated. The bounds can be evaluated without recursive subdivision. We show that this interpolation is convexity preserving, as its associated subdivision scheme. Finally, some numerical...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2008-01, Vol.211 (1), p.36-44
Main Authors: Amat, S., Dadourian, K., Donat, R., Liandrat, J., Trillo, J.C.
Format: Article
Language:English
Subjects:
Approximations and expansions
Convexity preserving
Error bounds
Exact sciences and technology
Mathematical analysis
Mathematics
Nonlinear subdivision schemes
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
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Summary:Error bounds between a nonlinear interpolation and the limit function of its associated subdivision scheme are estimated. The bounds can be evaluated without recursive subdivision. We show that this interpolation is convexity preserving, as its associated subdivision scheme. Finally, some numerical experiments are presented.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2006.11.003