Some Inequalities for the General Radial Bodies

ZHANG Ping, WANG Wei-dong

doi:10.13371/j.cnki.chin.q.j.m.2016.02.008

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 2: 171 - 177

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.02.008

Some Inequalities for the General Radial Bodies

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Department of Mathematics,China Three Gorges University

ZHANG Ping(1978-), female(Tujiazu), native of Lichuan, Hubei, a lecturer of China Three Gorges University, M.S.D., engages in convex geometric analysis.

Received date: 2014-05-22

Online published: 2020-11-06

Supported by

Supported by the National Natural Science Foundation of China(11371224)； Supported by the Academic Mainstay Foundation of Hubei Pnvince(B2016030)；

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Abstract

Lutwak showed the radial bodies combining with the radial Minkowski linear combinations of star bodies. In this paper, the general radial bodies are introduced and its some properties and inequalities are established.

Key words： star body; dual mixed volume; general radial body

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ZHANG Ping, WANG Wei-dong . Some Inequalities for the General Radial Bodies[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(2) : 171 -177 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.02.008

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