Mean width inequalities for symmetric Wulff shapes

We establish the mean width inequalities for symmetric Wulff shapes by a direct approach. We also yield the dual inequality along with the equality conditions. These new inequalities have Barthe＇s mean width inequalities for even isotropic measures and its dual form as special cases.

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Veröffentlicht in:	Science China. Mathematics 2014, Vol.57 (8), p.1649-1656
Hauptverfasser:	Guo, LuJun, Leng, GangSong
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics 不等式各向同性对偶形式对称平均宽度形状
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Beschreibung
Zusammenfassung:	We establish the mean width inequalities for symmetric Wulff shapes by a direct approach. We also yield the dual inequality along with the equality conditions. These new inequalities have Barthe＇s mean width inequalities for even isotropic measures and its dual form as special cases.
ISSN:	1674-7283 1869-1862
DOI:	10.1007/s11425-014-4789-z