A Simple Proof of an Estimate for the Approximation of the Euclidean Ball and the Delone Triangulation Numbers

Journal of Approximation Theory

Volumn 107, Issue 2, 2000, Pages 268-280

  Mankiewicz, Piotr ^a   Schütt, Carsten ^b  

^a INSTITUTE OF MATHEMATICS   (Poland)

^b UNIVERSITY OF KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043274792     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2000.3509     Document Type: Article

References (7)

1. E. M. Bronshteyn and L. D. Ivanov, The approximation of convex sets by polyhedra, Siberian Math. J. 16 (1975), 1110-1112.
2. H. Edelsbrunner, "Algorithms in Combinatorial Geometry," Springer-Verlag, Berlin, 1987.
3. Y. Gordon, S. Reisner, and C. Schütt, Umbrellas and polytopal approximation of the euclidean ball, J. Approx. Theory 90 (1997), 9-22.
4. P. M. Gruber, Asymptotic estimates for best and stepwise approximation of convex bodies II, Forum Math. 5 (1993), 521-538.
5. G. A. Kabatjanskii and V. I. Levenstein, Bounds for packings on a sphere and in space, Problems Inform. Transmission 14 (1978), 1-17.
6. A. M. Macbeath, An extremal property of the hypersphere, Proc. Cambridge Philos. Soc. 47 (1951), 245-247.
7. S. Reisner, C. Schütt, and E. Werner, Dropping a vertex or a facet from a convex polytope, Fund. Math., to appear.