Some logarithmic Minkowski inequalities for nonsymmetric convex bodies

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（10）
• 页码范围: 1857-1872
• 页数: 16页
• 语种: 英文
• DOI: 10.1007/s11425-016-9056-5

摘要

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