A simple proof of an estimate for the approximation of the Euclidean ball and the Delone triangulation numbers

Authors
Mankiewicz, P Schutt, C
Citation
P. Mankiewicz et C. Schutt, A simple proof of an estimate for the approximation of the Euclidean ball and the Delone triangulation numbers, J APPROX TH, 107(2), 2000, pp. 268-280
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
107
Issue
2
Year of publication
2000
Pages
268 - 280
Database
ISI
SICI code
0021-9045(200012)107:2<268:ASPOAE>2.0.ZU;2-#
Abstract
We give a simple proof of an estimate for the approximation of the Euclidea n ball by a polytope with a given number of vertices with respect to the vo lume of the symmetric difference metric and relatively precise estimate for the Delone triangulation numbers. We also study the same problem for a giv en number of n 1-dimensional faces. (C) 2000 Academic Press.