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

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摘要

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.

论文关键词：41A05,41A10,65D05,65D17,Nonlinear subdivision schemes,Error bounds,Convexity preserving

论文评审过程：Received 31 July 2006, Revised 1 November 2006, Available online 27 December 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.11.003