Monotonicity preservation on triangles

Authors
Floater, MS Pena, JM
Citation
Ms. Floater et Jm. Pena, Monotonicity preservation on triangles, MATH COMPUT, 69(232), 2000, pp. 1505-1519
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
69
Issue
232
Year of publication
2000
Pages
1505 - 1519
Database
ISI
SICI code
0025-5718(200010)69:232<1505:MPOT>2.0.ZU;2-J
Abstract
It is well known that Bernstein polynomials on triangles preserve monotonic ity. In this paper we define and study three kinds of monotonicity preserva tion of systems of bivariate functions on a triangle. We characterize and c ompare several of these systems and derive some geometric applications.