关于Brunn-Minkowski不等式的均质积分和对偶均质积分形式的隔离

数学季刊 ›› 2012, Vol. 27 ›› Issue (4): 582-589.

关于Brunn-Minkowski不等式的均质积分和对偶均质积分形式的隔离

Department of Mathematics, China Three Gorges University

收稿日期:2011-05-03 出版日期:2012-12-30 发布日期:2023-03-16
作者简介:WANG Wei-dong(1959-), male, native of Badong, Hubei, a professor of China Three Gorges University, Ph.D., engages in convex geometric analysis.
基金资助:
Supported by the Natural Science Foundation of China(10671117)； Supported by the Science Foundation of China Three Gorges University

On Isolations for the Brunn-Minkowski Inequality of Quermassintegrals and Dual Quermassintegrals

Department of Mathematics, China Three Gorges University

Received:2011-05-03 Online:2012-12-30 Published:2023-03-16
About author:WANG Wei-dong(1959-), male, native of Badong, Hubei, a professor of China Three Gorges University, Ph.D., engages in convex geometric analysis.
Supported by:
Supported by the Natural Science Foundation of China(10671117)； Supported by the Science Foundation of China Three Gorges University

摘要/Abstract

摘要： Lutwak proved the Brunn-Minkowski inequality for the quermassintegrals of Fiery L_p-combination. Wang and Leng gave the Brunn-Minkowski inequality for the dual quermassintegrals of L_p-harmonic radial combination. In the paper, we establish the isolate forms of the Brunn-Minkowski inequality for quermassintegrals and dual quermassintegrals, respectively.

关键词: Fiery L_p-combination, L_p-harmonic radial combination, Brunn-Minkowski inequality, quermassintegrals, dual quermassintegrals

Abstract: Lutwak proved the Brunn-Minkowski inequality for the quermassintegrals of Fiery L_p-combination. Wang and Leng gave the Brunn-Minkowski inequality for the dual quermassintegrals of L_p-harmonic radial combination. In the paper, we establish the isolate forms of the Brunn-Minkowski inequality for quermassintegrals and dual quermassintegrals, respectively.

Key words: Fiery L_p-combination, L_p-harmonic radial combination, Brunn-Minkowski inequality, quermassintegrals, dual quermassintegrals

中图分类号:

O186.5

王卫东, 齐晨. 关于Brunn-Minkowski不等式的均质积分和对偶均质积分形式的隔离[J]. 数学季刊, 2012, 27(4): 582-589.

WANG Wei-dong, QI Chen. On Isolations for the Brunn-Minkowski Inequality of Quermassintegrals and Dual Quermassintegrals[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 582-589.