The General Minkowski Inequality for Mixed Volume

The General Minkowski Inequality for Mixed Volume

Mixed volume is an important notion in convex geometry, which is the extension of volume and surface area. The Minkowski inequality for mixed volume plays a vital role in convex geometry. This paper obtains that mixed volume under Steiner symmetrization is monotonic and decreasing, and a concise pro...

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Veröffentlicht in:Journal of function spaces 2024-01, Vol.2024 (1)
1. Verfasser: Lv, Yusha
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
Euclidean space
Geometry
Inequality
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Zusammenfassung:Mixed volume is an important notion in convex geometry, which is the extension of volume and surface area. The Minkowski inequality for mixed volume plays a vital role in convex geometry. This paper obtains that mixed volume under Steiner symmetrization is monotonic and decreasing, and a concise proof of the general Minkowski inequality by Steiner symmetrization is obtained.
ISSN:2314-8896
2314-8888
DOI:10.1155/2024/9553912