Some inequalities for (p,q)-mixed volume

Lutwak, Yang, and Zhang introduced the concept of ( p , q ) -mixed volume whose special cases contain the L p -mixed volume and the L p -dual mixed volume. In this article, associated with the ( p , q ) -mixed volumes, we establish related cyclic inequalities, monotonic inequalities, and product ine...

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Bibliographic Details
Published in:Journal of inequalities and applications 2018-09, Vol.2018 (1), p.1-9, Article 247
Main Authors: Chen, Bin, Wang, Weidong
Format: Article
Language:English
Subjects:
( p , q ) $(p,q)$ -mixed volume
Analysis
Applications of Mathematics
Cases (containers)
Cyclic inequality
Inequalities
Mathematics
Mathematics and Statistics
Monotonic inequality
Product inequality
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Summary:Lutwak, Yang, and Zhang introduced the concept of ( p , q ) -mixed volume whose special cases contain the L p -mixed volume and the L p -dual mixed volume. In this article, associated with the ( p , q ) -mixed volumes, we establish related cyclic inequalities, monotonic inequalities, and product inequalities.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-018-1836-2