| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 1, March 2022
|
|
|---|---|---|
| Page(s) | 42 - 48 | |
| DOI | https://doi.org/10.1051/wujns/2022271042 | |
| Published online | 16 March 2022 | |
Mathematics
CLC number: O18
Inequalities on Complex Lp Centroid Bodies
College of Science & Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, Hubei, China
† To whom correspondence should be addressed. E-mail: zhyp5208@163.com
Received: 25 September 2021
Based on the notion of the complex Lp centroid body, we establish Brunn-Minkowski type inequalities and monotonicity inequalities for complex Lp centroid bodies in this article. Moreover, we obtain the affirmative form of Shephard type problem for the complex Lp centroid bodies and its negative form.
Key words: complex Lp centroid body / Brunn-Minkowski type inequalities / Shephard type problem
Biography: CHENG Manli, female, Master candidate, research direction: convex geometric analysis. E-mail: 1806857113@qq.com
Foundation item: Supported by the National Natural Science Foundation of China (11901346)
© Wuhan University 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.