Cyclic Brunn–Minkowski inequalities for dual mixed volumes

Linmei Yu; Yuanyuan Zhang; Weidong Wang

doi:10.1216/rmj.2020.50.2245

Abstract

Combined with radial Minkowski addition, radial Blaschke addition and harmonic Blaschke addition, we establish cyclic Brunn–Minkowski inequalities for dual mixed volumes of star bodies.

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Linmei Yu. Yuanyuan Zhang. Weidong Wang. "Cyclic Brunn–Minkowski inequalities for dual mixed volumes." Rocky Mountain J. Math. 50 (6) 2245 - 2255, December 2020. https://doi.org/10.1216/rmj.2020.50.2245

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Received: 4 March 2019; Revised: 25 May 2020; Accepted: 28 May 2020; Published: December 2020

First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.2245

Subjects:

Primary: 52A20 , 52A39 , 52A40

Keywords: Brunn–Minkowski inequality , cyclic inequality , dual mixed volume

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