ORLICZ-BRUNN-MINKOWSKI TYPE INEQUALITIES OF ORLICZ-LOG WIDTH INTEGRALS
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.
Brunn-Minkowski theorywidth integralOrlicz-Minkowski type inequalityOrlicz-Brunn-Minowski type inequality
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