Lp-dual three mixed quermassintegrals
- Resource Type
- article
- Authors
- Zhao Chang-Jian; Bencze Mihály
- Source
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 29, Iss 2, Pp 265-274 (2021)
- Subject
- p-radial addtion
dual quermassintegral
dual mixed quermassintegral
minkowski inequality
brunn-minkowski inequality
primary 52a40
secondary 46e30
Mathematics
QA1-939
- Language
- English
- ISSN
- 1844-0835
In the paper, the concept of Lp-dual three-mixed quermassintegrals is introduced. The formula for the Lp-dual three-mixed quermassintegrals with respect to the p-radial addition is proved. Inequalities of Lp-Minkowski, and Brunn-Minkowski type for the Lp-dual three-mixed quermassintegrals are established. The new Lp-Minkowski inequality is obtained that generalize a family of Minkowski type inequalities. The Lp-Brunn-Minkowski inequality is used to obtain a series of Brunn-Minkowski type inequalities.