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本文基于Brunn-Minkowski理论中宽度积分的研究，定义了Orlicz-log宽度积分，建立Orlicz-log宽度积分的Orlicz-Minkowski型不等式和Orlicz-Brunn-Minowski型不等式及它们间的等价关系。当φ(x,y)=x-p+y-p时，即为Lp-log宽度积分的Lp-Minkowski型不等式和Lp-Brunn-Minowski型不等式。
Abstract：Based on the study of width integral in Brunn-Minkowski theory, we define the Orlicz-log width integral and establish the Orlicz-Minowski type inequality and the Orlicz-Brunn-Minkowski type inequality of the Orlicz-log width integral as well as their equivalence relationship. When φ(x,y)=x-p+y-p is satisfied, the inequalities of Orlicz-log width integral is correspondingly transformed to Lp-Minowski type inequality and Lp-Brunn-Minkowski type inequality of Lp-log width integral.
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DOI：
中图分类号:O186.5
引用信息:
[1]杨林,罗淼.Orlicz-log宽度积分的Orlicz-Brunn-Minowski型不等式[J].山东师范大学学报(自然科学版),2024,39(03):243-249.
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