Width-integrals of convex bodies-Reference-Cited by-同舟云学术

Width-integrals of convex bodies

Published:1975 Issue:2 Volume:53 Page:435-439
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lutwak Erwin

Abstract

The width-integrals (Breitenintegrale) as introduced by Blaschke are examined. They are shown to satisfy a cyclic inequality similar to that satisfied by the cross-sectional measures (Quermassintegrale). Other similarities and inequalities between the width-integrals and the cross-sectional measures are shown to exist.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-053-02/S0002-9939-1975-0383254-5/S0002-9939-1975-0383254-5.pdf

Reference7 articles.

1. W. Blaschke, Vorlesungen über Integralgeometrie. I, II, Teubner, Leipzig, 1936, 1937; reprint, Chelsea, New York, 1949.

2. T. Bonnesen and W. Fenchel, Theorie der konvexen Körpern, Springer, Berlin, 1934; reprint, Chelsea, New York, 1948.

3. Measures of symmetry for convex sets;Grünbaum, Branko,1963

4. Polar reciprocal convex bodies;Guggenheimer, H.;Israel J. Math.,1973

5. Vorlesungen Über Inhalt, Oberfläche und Isoperimetrie

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