Error estimates for discrete spline interpolation : quintic and biquintic splines

• Main Authors: Chen, Fengmin, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Electrical and electronic engineering
• Online Access: https://hdl.handle.net/10356/107045; http://hdl.handle.net/10220/17768; http://dx.doi.org/10.1016/j.cam.2012.01.011
• Institution: Nanyang Technological University

In this paper we shall develop a class of discrete spline interpolates in one and two independent variables. Further, explicit error bounds in ℓ∞ norm are derived for the quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained....