Inequalities for pqth-dual mixed volumes

Chang-Jian Zhao; Mihály Bencze

doi:10.2478/auom-2023-0027

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Inequalities for pqth-dual mixed volumes

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 31 (2023): Issue 2 (March 2023)

By: Chang-Jian Zhao and Mihály Bencze

Open Access

|Mar 2023

Abstract

In the paper, our main aim is to generalize the q^th dual volume to L_p space, and introduce pq^th-dual mixed volume by calculating the first order variation of q^th dual volumes. We establish the L_pq-Minkowski inequality for pq^th-dual mixed volumes and L_pq-Brunn-Minkowski inequality for the q^th-dual volumes, respectively. The new inequalities in special case yield some new dual inequalities for the q^th-dual volumes.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2023-0027 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 191 - 199

Submitted on: Aug 14, 2022

Accepted on: Dec 20, 2022

Published on: Mar 27, 2023

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Log-volume,

q^th dual volume,

q^th-dual mixed volume,

pq^th-dual mixed volume

Related subjects:

Mathematics,

General mathematics

© 2023 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 31 (2023): Issue 2 (March 2023)