Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Bonnesen-style inequalities for Minkowski relative geometry


Author: J. R. Sangwine-Yager
Journal: Trans. Amer. Math. Soc. 307 (1988), 373-382
MSC: Primary 52A40; Secondary 52A20
MathSciNet review: 936821
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Two Bonnesen-style inequalities are obtained for the relative inradius of one convex body with respect to another in $ n$-dimensional space. Both reduce to the known planar inequality; one sharpens the relative isoperimetric inequality, the other states that a quadratic polynomial is negative at the inradius. Circumradius inequalities follow.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 52A40, 52A20

Retrieve articles in all journals with MSC: 52A40, 52A20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0936821-5
PII: S 0002-9947(1988)0936821-5
Keywords: Circumradius, convex body, inner parallel body, inradius, quermassintegral
Article copyright: © Copyright 1988 American Mathematical Society