关于对偶均质积分的Dresher型不等式

魏波, 王卫东

doi:10.13371/j.cnki.chin.q.j.m.2015.02.006

数学季刊 >

2015 , Vol. 30 >Issue 2: 199 - 205

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.02.006

关于对偶均质积分的Dresher型不等式

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Department of Mathematics, China Three Gorges University

WANG Wei-dong(1959-), male, native of Badong, Hubei, a professor of China Three Gorges University, Ph.D., engages in convex geometric analysis.

收稿日期: 2013-05-23

网络出版日期: 2020-11-23

基金资助

Supported by the National Natural Science Foundation of China(11371224)； Supported by the Master Thesis Foundation of China Three Gorges University(2013PY069)；

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Dresher's Type Inequalities for Dual Quermassintegral

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Department of Mathematics, China Three Gorges University

WANG Wei-dong(1959-), male, native of Badong, Hubei, a professor of China Three Gorges University, Ph.D., engages in convex geometric analysis.

Received date: 2013-05-23

Online published: 2020-11-23

Supported by

Supported by the National Natural Science Foundation of China(11371224)； Supported by the Master Thesis Foundation of China Three Gorges University(2013PY069)；

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摘要

In this paper, we establish two Dresher’s type inequalities for dual quermassintegral with Lp-radial Minkowski linear combination and L_p-harmonic Blaschke linear combination, respectively. Our results in special cases yield some new dual L_p-Brunn-Minkowski inequalities for dual quermassintegral.

关键词： star bodies; Dresher's inequality; L_p-Brunn-Minkowski inequality

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魏波, 王卫东 . 关于对偶均质积分的Dresher型不等式[J]. 数学季刊, 2015 , 30(2) : 199 -205 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.006

Abstract

Key words： star bodies; Dresher's inequality; L_p-Brunn-Minkowski inequality

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