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

✍ Scribed by S. Amat; K. Dadourian; R. Donat; J. Liandrat; J.C. Trillo

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 162 KB
• Volume: 211
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2006.11.003

✦ Synopsis

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.