Some logarithmic Minkowski inequalities for nonsymmetric convex bodies

We prove some analogs inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies. As applications of one of those inequalities, the p-affine isoperimetric inequality and some other inequalities are obtained.

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Veröffentlicht in:	Science China. Mathematics 2017-10, Vol.60 (10), p.1857-1872
Hauptverfasser:	Wang, XingXing, Xu, WenXue, Zhou, JiaZu
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Inequalities Mathematics Mathematics and Statistics 仿射凸体对数不等式等周不等式类似闵可夫斯基非对称
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Beschreibung
Zusammenfassung:	We prove some analogs inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies. As applications of one of those inequalities, the p-affine isoperimetric inequality and some other inequalities are obtained.
ISSN:	1674-7283 1869-1862
DOI:	10.1007/s11425-016-9056-5