A SHARP UPPER BOUND ON THE APPROXIMATION ORDER OF SMOOTH BIVARIATE PP FUNCTIONS

被引：29

作者：

DEBOOR, C ^{[1
]}

JIA, RQ ^{[1
]}

机构：

[1] UNIV OREGON,DEPT MATH,EUGENE,OR 97403

来源：

JOURNAL OF APPROXIMATION THEORY | 1993年 / 72卷 / 01期

关键词：

D O I：

10.1006/jath.1993.1003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the approximation order from bivariate piecewise polynomials of degree ≤k in Cρ is no better than k when k < 3ρ + 2 (even if only the three-direction mesh is considered). This complements the earlier result that the approximation order is full, i.e., equals k + 1, for any triangulation as soon as k ≥ 3ρ + 2. © 1993 Academic Press, Inc.

引用

页码：24 / 33

页数：10

共 8 条

[1] BIVARIATE BOX SPLINES AND SMOOTH PP-FUNCTIONS ON A 3 DIRECTION MESH [J].