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2017 Mixed chord-integrals of index $i$ and radial Blaschke-Minkowski homomorphisms
Yibin Feng, Shanhe Wu, Weidong Wang
Rocky Mountain J. Math. 47(8): 2627-2640 (2017). DOI: 10.1216/RMJ-2017-47-8-2627

Abstract

In this paper, two Brunn-Minkowski type inequalities for mixed chord-integrals of index~$i$ are established, which are related to the radial Blaschke-Minkowski homomorphisms of star bodies. Moreover, two inequalities similar to Giannopoulos, Hartzoulaki and Paouris's inequality are also considered.

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Yibin Feng. Shanhe Wu. Weidong Wang. "Mixed chord-integrals of index $i$ and radial Blaschke-Minkowski homomorphisms." Rocky Mountain J. Math. 47 (8) 2627 - 2640, 2017. https://doi.org/10.1216/RMJ-2017-47-8-2627

Information

Published: 2017
First available in Project Euclid: 3 February 2018

zbMATH: 1385.52005
MathSciNet: MR3760310
Digital Object Identifier: 10.1216/RMJ-2017-47-8-2627

Subjects:
Primary: 52A20 , 52A40

Keywords: Brunn-Minkowski type inequality , Giannopoulos , Hartzoulaki and Paouris's inequality , Mixed chord-integrals of index $i$ , radial Blaschke-Minkowski homomorphisms

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

Vol.47 • No. 8 • 2017
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