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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/115/01/0079-0091

    • Keywords

       

      Dual mixed volumes; mixed projection bodies; mixed intersection bodies

    • Abstract

       

      In this paper, we first introduce a new concept ofdual quermassintegral sum function of two star bodies and establish Minkowski’s type inequality for dual quermassintegral sum of mixed intersection bodies, which is a general form of the Minkowski inequality for mixed intersection bodies. Then, we give the Aleksandrov-Fenchel inequality and the Brunn-Minkowski inequality for mixed intersection bodies and some related results. Our results present, for intersection bodies, all dual inequalities for Lutwak’s mixed prosection bodies inequalities.

    • Author Affiliations

       

      Zhao Chang-Jian1 Leng Gang-Song2

      1. Department of Information and Mathematics Sciences, College of Science, China Institute of Metrology, Hangzhou - 310018, People’s Republic of China
      2. Department of Mathematics, Shanghai University, Shanghai - 200 436, People’s Republic of China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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