Bonnesen-style inequalities for Minkowski relative geometry
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- by J. R. Sangwine-Yager PDF
- Trans. Amer. Math. Soc. 307 (1988), 373-382 Request permission
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
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 307 (1988), 373-382
- MSC: Primary 52A40; Secondary 52A20
- DOI: https://doi.org/10.1090/S0002-9947-1988-0936821-5
- MathSciNet review: 936821