Width-Integrals of Convex Bodies

1 December 1975

journal article
Published by JSTOR in Proceedings of the American Mathematical Society

Vol. 53 (2) , 435-439
https://doi.org/10.2307/2040030

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.

Keywords

CROSS-SECTIONAL MEASURES
HÖLDER’S INEQUALITY
MINKOWSKI’S INEQUALITY
POLAR BODY
SUPPORT FUNCTION
WIDTH
WIDTH-INTEGRALS

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