Width-integrals of convex bodies
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- by Erwin Lutwak PDF
- Proc. Amer. Math. Soc. 53 (1975), 435-439 Request permission
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.References
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W. Blaschke, Vorlesungen über Integralgeometrie. I, II, Teubner, Leipzig, 1936, 1937; reprint, Chelsea, New York, 1949.
T. Bonnesen and W. Fenchel, Theorie der konvexen Körpern, Springer, Berlin, 1934; reprint, Chelsea, New York, 1948.
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 435-439
- MSC: Primary 52A40
- DOI: https://doi.org/10.1090/S0002-9939-1975-0383254-5
- MathSciNet review: 0383254