In this paper,we establish a characterization of the polarity mapping for convex bodies for 1-dimensional convex bodies,which is a supplement to the result for such a characterization obtained by B?r?czky and Schneider.
Some Orlicz-Brunn-Minkowski type inequalities for(dual)quermassintegrals of polar bodies and star dual bodies have been introduced.In this paper,we generalize the results and establish some Orlicz-Brunn-Minkowski type...Some Orlicz-Brunn-Minkowski type inequalities for(dual)quermassintegrals of polar bodies and star dual bodies have been introduced.In this paper,we generalize the results and establish some Orlicz-Brunn-Minkowski type inequalities for mixed(dual)quermassintegrals of polar bodies and star dual bodies.展开更多
基金Supported in part by the Natural Science Foundation of Hunan Province(2021JJ30235)the Scientific Research Fund of Hunan Provincial Education Department(21B0479)Postgraduate Scientific Research Innovation Project of Hunan Province(QL20220228)。
文摘In this paper,we establish a characterization of the polarity mapping for convex bodies for 1-dimensional convex bodies,which is a supplement to the result for such a characterization obtained by B?r?czky and Schneider.
基金the Natural Science Foundation of Hunan Province(2021JJ30235)。
文摘Some Orlicz-Brunn-Minkowski type inequalities for(dual)quermassintegrals of polar bodies and star dual bodies have been introduced.In this paper,we generalize the results and establish some Orlicz-Brunn-Minkowski type inequalities for mixed(dual)quermassintegrals of polar bodies and star dual bodies.
