<abstract xmlns="http://www.w3.org/1999/xhtml">

In the paper, the concept of <italic>Lp</italic>-dual three-mixed quermassintegrals is introduced. The formula for the <italic>Lp</italic>-dual three-mixed quermassintegrals with respect to the <italic>p</italic>-radial addition is proved. Inequalities of <italic>Lp</italic>-Minkowski, and Brunn-Minkowski type for the <italic>Lp</italic>-dual three-mixed quermassintegrals are established. The new <italic>Lp</italic>-Minkowski inequality is obtained that generalize a family of Minkowski type inequalities. The <italic>Lp</italic>-Brunn-Minkowski inequality is used to obtain a series of Brunn-Minkowski type inequalities.
</abstract>

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.

<italic>Lp</italic>-dual three mixed quermassintegrals

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

L_p-dual three mixed quermassintegrals

Published Online: Jul 08, 2021

Page range: 265 - 274

Received: Aug 06, 2020

Accepted: Aug 31, 2020

DOI: https://doi.org/10.2478/auom-2021-0030

Keywords
-radial addtion, Dual quermassintegral, Dual mixed quermassintegral, Minkowski inequality, Brunn-Minkowski inequality

© 2021 Chang-Jian Zhao et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Lp-dual three mixed quermassintegrals

Published Online: Jul 08, 2021

Page range: 265 - 274

Received: Aug 06, 2020

Accepted: Aug 31, 2020

DOI: https://doi.org/10.2478/auom-2021-0030

Keywords-radial addtion, Dual quermassintegral, Dual mixed quermassintegral, Minkowski inequality, Brunn-Minkowski inequality

© 2021 Chang-Jian Zhao et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

L_p-dual three mixed quermassintegrals

Keywords
-radial addtion, Dual quermassintegral, Dual mixed quermassintegral, Minkowski inequality, Brunn-Minkowski inequality