In this paper, Brunn-Minkowski inequality and Dresher-type inequality for mixed width-integrals of Firey＇s p-sum are established. Further, we present the Dresher-type inequalities for dual quermassintegrals of the po...In this paper, Brunn-Minkowski inequality and Dresher-type inequality for mixed width-integrals of Firey＇s p-sum are established. Further, we present the Dresher-type inequalities for dual quermassintegrals of the polar of Lp projection body and Lp centroid body, which in special cases yield some previous inequalities.展开更多
Recently, the general width-integral of index i was introduced and some of its isoperimetric inequalities were established. In this paper, we establish some new Brunn-Minkowski type inequalities for general width-inte...Recently, the general width-integral of index i was introduced and some of its isoperimetric inequalities were established. In this paper, we establish some new Brunn-Minkowski type inequalities for general width-integral of index i.展开更多
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
基金Supported by the National Natural Science Foundation of China(11371224)the Innovation Foundation of Graduate Student of China Three Gorges University(2014CX097)Excellent Foundation of Degree Dissertation of Master of China Three Gorges University(2015PY071)
文摘In this paper, Brunn-Minkowski inequality and Dresher-type inequality for mixed width-integrals of Firey＇s p-sum are established. Further, we present the Dresher-type inequalities for dual quermassintegrals of the polar of Lp projection body and Lp centroid body, which in special cases yield some previous inequalities.
基金Supported by the Scientific Planning of Education of Gansu Province(GS[2017]GHBZ051)Introduction and Use of Open Online Courses of Gansu Province(2016-47)
文摘Recently, the general width-integral of index i was introduced and some of its isoperimetric inequalities were established. In this paper, we establish some new Brunn-Minkowski type inequalities for general width-integral of index i.
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.
