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q-dual mixed volumes and Lp-intersection bodies

  • Chang-Jian Zhao EMAIL logo and Wing-Sum Cheung
Published/Copyright: June 1, 2017
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Abstract

In this paper, we introduce the new notions of Lp-intersection and mixed intersection bodies. Inequalities for the q-dual volume sum of Lp-mixed intersection bodies are established.

MSC 2010: 52A40

Award Identifier / Grant number: 11371334

Funding statement: The first author was supported by the Natural Science Foundation of China (11371334). The second author was partially supported by the National Natural Science Foundation of China (11371334) and an HKU seed grant for basic research.

Acknowledgements

The authors express their gratitude to the referee for his many excellent suggestions and comments. The first author expresses also his thanks to Professor Gang-Song Leng for his very valuable help.

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Received: 2015-01-30
Revised: 2015-06-29
Accepted: 2015-07-20
Published Online: 2017-06-01
Published in Print: 2019-03-01

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