On the Sobolev distance of convex bodies-Reference-Cited by-同舟云学术

On the Sobolev distance of convex bodies

Published:1992-08 Issue:1 Volume:44 Page:72-83
ISSN:0001-9054
Container-title:Aequationes Mathematicae
language:en
Short-container-title:Aeq. Math.

Author:

Arnold Randolf,Wellerding Andreas

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01834206.pdf

Reference16 articles.

1. Aleksandrov, A. D.,Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it. (Russian) Uchenye Zapiski Leningrad. Gos. univ., Math. Ser.6, 3–35 (1939).

2. Arnold, R.,Zur L 2-Bestapproximation eines konvexen Körpers durch einen bewegten konvexen Körper. Mh. Math.108, 277–293 (1989).

3. Bonnesen, T. andFenchel, W.,Theorie der konvexen Körper. Berlin: Springer, 1934.

4. Davis, P. J.,Lemoine approximation and Steiner approximation of convex sets. Technical report. Brown University, 1982.

5. Fuglede, B.,Stability in the isoperimetric problem. Bull. London Math. Soc.18, 599–605 (1986).

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