Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (5): 861-872.

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Orlicz Dual Mixed Quermassintegrls

Sun Baolei1,2, Yao Chunqing2   

  1. 1. Chongqing Yangjiaping Middle School, Chongqing 400050;
    2. School of Mathematics and Statistics, Southwest University, Chongqing 400715
  • Received:2015-12-21 Revised:2016-06-30 Online:2016-10-26 Published:2016-10-26
  • Supported by:

    Supported by the NSFC (11471188)

Abstract:

In this paper, we shows the continuity and the uniqueness result of the Orlicz dual mixed quermassintegrls, prove a property of the Orlicz dual mixed quermassintegrls under linear transformation. Further, the circulate inequality for the Orlicz dual mixed quermassintegrls is obtained. The equivalence between the dual Orlicz-Minkowski inequality for dual Orlicz mixed quermassintegrals and the dual Orlicz-Brunn-Minkowski inequality for Orlicz radial combination are demonstrated. We generalize the dual Orlicz-Cauchy-Kubota formula.

Key words: Orlicz dual mixed quermassintegrls, Linear transformation, Dual Orlicz-Minkowski inequality, Dual Orlicz-Brunn-Minkowski inequality, Dual Orlicz-Cauchy-Kubota formula

CLC Number: 

  • O186.5
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