Asymptotic estimates for best and stepwise approximation of convex bodies IV

Forum Mathematicum

Volumn 10, Issue 6, 1998, Pages 665-686

  Gruber, Peter M ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032221842     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.10.6.665     Document Type: Article

References (13)

1. Fejes Tóth, G., Kuperberg, W.: Packing and covering with convex sets. In: P. M. Gruber, J. M. Wills, eds.: Handbook of convex geometry B, 799-860. North-Holland, Amsterdam 1993
2. nd ed., Springer-Verlag, Berlin-Göttingen-Heidelberg 1972
3. Glasauer, S., Schneider, R.: Asymptotic approximation of smooth convex bodies by polytopes. Forum Math. 8 (1996), 363-377
4. Groemer, H.: Stability of geometric inequalities. In: P. M. Gruber, J. M. Wills, eds.: Handbook of convex geometry A, 125-150. North-Holland, Amsterdam 1993
5. Gruber, P. M.: Asymptotic estimates for best and stepwise approximation of convex bodies I. Forum Math. 5 (1993), 281-297
6. Gruber, P. M.: Aspects of approximation of convex bodies. In: P. M. Gruber, J. M. Wills, eds.: Handbook of convex geometry A, 319-345. North-Holland, Amsterdam 1993
7. Gruber, P. M.: Stability of Blaschke's characterization of ellipsoids and Radon norms. Discrete Comput. Geometry 17 (1997), 411-427
8. Kershner, R.: The number of circles covering a set. Amer. Math. J. 61 (1939), 578-581
9. Ludwig, M.: Asymptotic approximation of convex curves. Arch. Math. 63 (1994), 377-384
10. McClure, D. E., Vitale, R. A.: Polygonal approximation of plane convex bodies. J. Math. Anal. Appl. 51 (1975), 326-358
11. Schneider, R.: Zur optimalen Approximation konvexer Hyperflächen durch Polyeder. Math. Ann. 256 (1981), 289-301
12. Schneider, R.: Affine-invariant approximation by convex polytopes. Studia Sci. Math. Hungar. 21 (1986), 401-408
13. Schneider, R.: Convex bodies: the Brunn-Minkowski theory. Cambridge Univ. Press, Cambridge 1993