Lp-dual three mixed quermassintegrals

Chang-Jian Zhao; Mihály Bencze

doi:10.2478/auom-2021-0030

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Lp-dual three mixed quermassintegrals

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 29 (2021): Issue 2 (June 2021)

By: Chang-Jian Zhao and Mihály Bencze

Open Access

|Jul 2021

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2021-0030 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 265 - 274

Submitted on: Aug 6, 2020

Accepted on: Aug 31, 2020

Published on: Jul 8, 2021

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

p-radial addtion,

Dual quermassintegral,

Dual mixed quermassintegral,

Minkowski inequality,

Brunn-Minkowski inequality

Related subjects:

Mathematics,

General mathematics

© 2021 Chang-Jian Zhao, Mihály Bencze, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 2 (June 2021)