Year: 2021
Type: article
Abstract: In the paper, the concept of L p -dual three-mixed quermassintegrals is introduced. The formula for the L p -dual three-mixed quermassintegrals with respect to the p -radial addition is proved. Inequalities of L p -Minkowski, and Brunn-Minkowski type for the L p -dual three-mixed quermassintegrals are established. The new L p -Minkowski inequality is obtained that generalize a family of Minkowski type inequalities. The L p -Brunn-Minkowski inequality is used to obtain a series of Brunn-Minkowski type inequalities.
Authors: Chang-Jian Zhao, Mihály Bencze
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3177769730