Optimal estimates for the linear interpolation error on simplices

JOURNAL OF APPROXIMATION THEORY

卷:103

Article

Stämpfle, M

关键词: linear interpolation;    interpolation error;    simplex;   

DOI  :  10.1006/jath.1999.3421

来源: Elsevier

【 摘 要 】

This paper presents a comprehensive collection of various error estimates for linear interpolation on simplices. The survey covers many relevant aspects such as geometric Bets about simplices, functions of several smoothness classes and arbitrary dimension, and different forms or derivatives. Most estimates involve constants that are best possible. Extremal functions and simplices are provided for all sharp inequalities. (C) 2000 Academic Press.

【 授权许可】

Free