Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas

Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas

Motivated by the celebrated work of Lutwak, Yang and Zhang [ ] on -mixed volumes and that of Feng and He [ ] on -mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and Brunn-Minkowski-type inequalities with respect to -mixed geominimal surface area...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2022-03, Vol.20 (1), p.117-124
Hauptverfasser: Zhang, Juan, Wang, Weidong, Zhao, Peibiao
Format: Artikel
Sprache:eng
Schlagworte:
(p, q)-mixed geominimal surface area
(p, q)-mixed volume
52A20
52A39
52A40
Brunn-Minkowski-type inequality
Inequalities
isoperimetric inequality
mixed geominimal surface area
mixed volume
monotonic inequality
Surface area
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Beschreibung
Zusammenfassung:Motivated by the celebrated work of Lutwak, Yang and Zhang [ ] on -mixed volumes and that of Feng and He [ ] on -mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and Brunn-Minkowski-type inequalities with respect to -mixed geominimal surface areas.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2022-0024