• Leng Gang-Song

      Articles written in Proceedings – Mathematical Sciences

    • Inequalities for dual quermassintegrals of mixed intersection bodies

      Zhao Chang-Jian Leng Gang-Song

      More Details Abstract Fulltext PDF

      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.

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