The Aleksandrov-Fenchel type inequalities for volume differences
نویسندگان
چکیده
In this paper we establish the Aleksandrov-Fenchel type inequality for volume differences function of convex bodies and the Aleksandrov-Fenchel inequality for Quermassintegral differences of mixed projection bodies, respectively. As applications, we give positive solutions of two open problems. M.S.C. 2000: 52A40.
منابع مشابه
Lp-Minkowski and Aleksandrov-Fenchel type inequalities
In this paper we establish the Lp-Minkowski inequality and Lp-Aleksandrov-Fenchel type inequality for Lp-dual mixed volumes of star duality of mixed intersection bodies, respectively. As applications, we get some related results. The paper new contributions that illustrate this duality of projection and intersection bodies will be presented. M.S.C. 2000: 52A40.
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تاریخ انتشار 2010