On cycle inequalities for convex-star bodies

Volume 10, Issue 9, pp 4901--4907 http://dx.doi.org/10.22436/jnsa.010.09.30

Publication Date: September 22, 2017 Submission Date: March 13, 2016

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Authors

Chang-Jian Zhao - Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China. Wing-Sum Cheung - Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China.

Abstract

In this paper, we establish new cycle inequalities for convex-star bodies, which are joint improvements of the cycle inequality for convex bodies and the dual cycle inequality for star bodies.

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ISRP Style

Chang-Jian Zhao, Wing-Sum Cheung, On cycle inequalities for convex-star bodies, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4901--4907

AMA Style

Zhao Chang-Jian, Cheung Wing-Sum, On cycle inequalities for convex-star bodies. J. Nonlinear Sci. Appl. (2017); 10(9):4901--4907

Chicago/Turabian Style

Zhao, Chang-Jian, Cheung, Wing-Sum. "On cycle inequalities for convex-star bodies." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4901--4907

Keywords

Convex body
star body
mixed volume
dual mixed volume
the cycle inequality
the dual cycle inequality

MSC

52A40
26D15

References

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