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

Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (4): 582-589.

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

Abstract

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

CLC Number:

O186.5

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.

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

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 1

Recommended Articles

Metrics

Comments