The Brunn-Minkowski type and cyclic Brunn-Minkowski type inequalities for the i-th general L_(p)-mixed widthintegral of convex bodies are established.Further,two cyclic inequalities for the differences of i-th general...The Brunn-Minkowski type and cyclic Brunn-Minkowski type inequalities for the i-th general L_(p)-mixed widthintegral of convex bodies are established.Further,two cyclic inequalities for the differences of i-th general L_(p)-mixed widthintegral of convex bodies.展开更多
In this paper, we study the extremum inequalities of general L_(p)-intersection bodies. In addition, associating with the L_(q)-radial combination and Lq-harmonic Blaschke combination, we establish the Brunn-Minkowski...In this paper, we study the extremum inequalities of general L_(p)-intersection bodies. In addition, associating with the L_(q)-radial combination and Lq-harmonic Blaschke combination, we establish the Brunn-Minkowski type inequalities of general Lp-intersection bodies for dual quermassintegrals, respectively. As applications, inequalities of volume are derived.展开更多
Lutwak showed the Busemann-Petty type problem(also called the Shephard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the L_(p)-c...Lutwak showed the Busemann-Petty type problem(also called the Shephard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the L_(p)-centroid bodies.In this paper,we obtain an affirmation form and two negative forms of the BusemannPetty type problem for the general L_(p)-centroid bodies.展开更多
基金Supported by the National Natural Science Foundation of China(11901346)
文摘The Brunn-Minkowski type and cyclic Brunn-Minkowski type inequalities for the i-th general L_(p)-mixed widthintegral of convex bodies are established.Further,two cyclic inequalities for the differences of i-th general L_(p)-mixed widthintegral of convex bodies.
基金the National Natural Science Foundation of China(11371224)the Innovation Foundation of Graduate Student of China Three Gorges University(2019SSPY146)。
文摘In this paper, we study the extremum inequalities of general L_(p)-intersection bodies. In addition, associating with the L_(q)-radial combination and Lq-harmonic Blaschke combination, we establish the Brunn-Minkowski type inequalities of general Lp-intersection bodies for dual quermassintegrals, respectively. As applications, inequalities of volume are derived.
基金supported in part by the Natural Science Foundation of China (Grant No.11371224)。
文摘Lutwak showed the Busemann-Petty type problem(also called the Shephard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the L_(p)-centroid bodies.In this paper,we obtain an affirmation form and two negative forms of the BusemannPetty type problem for the general L_(p)-centroid bodies.
