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

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

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

Inequalities for <italic>pq</italic>th-dual mixed volumes

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":{"italic":"pq","content":["Inequalities for","-dual mixed volumes"],"sup":"th"}}

In the paper, our main aim is to generalize the qth dual volume to Lp space, and introduce pqth-dual mixed volume by calculating the first order variation of...

Inequalities for pq^th-dual mixed volumes

Published Online: Mar 27, 2023

Page range: 191 - 199

Received: Aug 14, 2022

Accepted: Dec 20, 2022

DOI: https://doi.org/10.2478/auom-2023-0027

Keywords
Log-volume, dual volume, -dual mixed volume, -dual mixed volume

© 2023 Chang-Jian Zhao et al., published by Sciendo

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

Inequalities for pqth-dual mixed volumes

Published Online: Mar 27, 2023

Page range: 191 - 199

Received: Aug 14, 2022

Accepted: Dec 20, 2022

DOI: https://doi.org/10.2478/auom-2023-0027

KeywordsLog-volume, dual volume, -dual mixed volume, -dual mixed volume

© 2023 Chang-Jian Zhao et al., published by Sciendo

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

Inequalities for pq^th-dual mixed volumes

Keywords
Log-volume, dual volume, -dual mixed volume, -dual mixed volume