Total positivity and convexity preservation

Authors
Floater, MS
Citation
Ms. Floater, Total positivity and convexity preservation, J APPROX TH, 96(1), 1999, pp. 46-66
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
96
Issue
1
Year of publication
1999
Pages
46 - 66
Database
ISI
SICI code
0021-9045(199901)96:1<46:TPACP>2.0.ZU;2-W
Abstract
In this paper we define convexity and rational convexity preservation of sy stems or functions and we show that total positivity and rational convexity preservation are equivalent. We also characterize certain convexity preser ving systems in terms of weak Tchebycheff systems. Curve intersections and curvatures of Bezier curves are also studied. (C) 1999 Academic Press.