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Brunn-Minkowski Inequalities of General L_(p)-Intersection Bodies: 《Wuhan University Journal of Natural Sciences》2021年第1期1-7,共7页LI Chao WANG Weidong; the National Natural Science Foundation of China(11371224);the Innovation Foundation of Graduate Student of China Three Gorges University(2019SSPY146)。; 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...; 关键词：general L_(p)-intersection body dual quermassintegral extremum inequality Brunn-Minkowski type inequality

Extremum Values of Asymmetric Lp-Difference Bodies for Quermassintegrals and Dual Quermassintegrals: 《Wuhan University Journal of Natural Sciences》2018年第4期283-288,共6页SHI Wei WANG Weidong; Supported by the National Natural Science Foundation of China(11371224);Excellent Foundation of Graduate Student of China Three Gorges University(2017YPY077); Based on Lutwak＇s the notion of Lp-difference bodies, Wang and Ma introduced asymmetric Lp-difference bodies and gave their extremum values for volumes. In this paper, we establish the extremum value inequalities for...; 关键词：asymmetric Lp-difference body extremum value QUERMASSINTEGRAL dual querrnassintegral

Orlicz mixed affine quermassintegrals被引量：2: 《Science China Mathematics》2015年第8期1715-1722,共8页LI DeYi ZOU Du XIONG Ge; supported by National Natural Science Foundation of China(Grant No.11471206); A class of geometric quantities for convex bodies is introduced iu the framework of Orlicz Brunn- Minkowski theory. It is shown that these new geometric quantities are affine invariant and precisely the generalization...; 关键词：Orlicz Brunn-Minkowski theory integral geometry affine quermassintegral

Dresher＇s Type Inequalities for Dual Quermassintegral被引量：1: 《Chinese Quarterly Journal of Mathematics》2015年第2期199-205,共7页WEI Bo WANG Wei-dong; Supported by the National Natural Science Foundation of China（11371224）; Supported by the Master Thesis Foundation of China Three Gorges University（2013PY069）; In this paper, we establish two Dresher's type inequalities for dual quermassintegral with Lp-radial Minkowski linear combination and Lp-harmonic Blaschke linear combination, respectively. Our results in special cases...; 关键词：star bodies Dresher’s inequality Lp-Brunn-Minkowski inequality

Orlicz mixed quermassintegrals Dedicated to Professor Ren De-lin on the Occasion of his 80th Birthday被引量：10: 《Science China Mathematics》2014年第12期2549-2562,共14页XIONG Ge ZOU Du; supported by National Natural Science Foundation of China(Grant No.11001163);Innovation Program of Shanghai Municipal Education Commission(Grant No.11YZ11); The notion of mixed quermassintegrals in the classical Brunn-Minkowski theory is extended to that of Orlicz mixed quermassintegrals in the Orlicz Brunn-Minkowski theory. The analogs of the classical Cauchy- Kuhota for...; 关键词：Orlicz Brunn-Minkowski theory QUERMASSINTEGRAL Minkowski＇s isoperimetric inequality integral geometry

Dual Quermassintegral Differences for Intersection Body: 《Advances in Pure Mathematics》2014年第10期529-534,共6页Lingzhi Zhao Jun Yuan; In this paper, we introduce the concept of dual quermassintegral differences. Further, we give the dual Brunn-Minkowski inequality and dual Minkowski inequality for dual quermassintegral differences for mixed intersec...; 关键词：INTERSECTION BODY DUAL Brunn-Minkowski INEQUALITY DUAL MINKOWSKI INEQUALITY

On the L_p-Dual Mixed Volumes: 《Acta Mathematica Sinica,English Series》2013年第9期1647-1654,共8页Lian Ying CHEN Chang Jian ZHAO; supported by National Natural Science Foundation of China (Grant No. 10971205); We establish the cyclic inequality for i-th L p-dual mixed volume and Lp-dual Urysohn inequality between p-mean width and Lp-dual quermassintegral. Moreover, the dual isoperimetric inequality for Lp-dual mixed volume ...; 关键词：Dual mixed volume Lp-dual mixed volume mean width Lp-mean width dual isoperi-metric inequality Lp-dual quermassintegral

Lp-dual Quermassintegral sums被引量：1: 《Science China Mathematics》2007年第9期1347-1360,共14页Chang-jian ZHAO Department of Information and Mathematics Sciences,College of Science,China Jiliang University,Hangzhou 310018,China; This work was partially supported by the National Natural Science Foundation of China (Grant No.10271071);Zhejiang Provincial Natural Science Foundation of China (Grant No.Y605065);Foundation of the Education Department of Zhejiang Province of China (Grant No.20050392); In this paper,we first introduce a concept of L_p-dual Quermassintegral sum function of convex bodies and establish the polar projection Minkowski inequality and the polar projection Aleksandrov-Fenchel inequality for...; 关键词：mixed volumes mixed projection bodies dual Quermassintegral sum polar of mixed projection bodies 52A40 53A15

Inclusion measures of convex bodies （ Ⅰ ）被引量：2: 《Journal of Shanghai University(English Edition)》2006年第3期208-210,共3页熊革倪建华; Project supported by Youth Science Foundation of Shanghai Municipal Commission of Education（ Grant No. 214511）; In this paper, the relations between inclusion measures of different bodies related to convex body K and the inclusion measure of convex body K itself were obtained.; 关键词：convex body inclusion measure quermassintegral.

Inequalities for Zonotopes: 《Journal of Shanghai University(English Edition)》2005年第6期476-479,共4页赵灵芝冷岗松; Project supported in part by National Natural Science Foundation of China （Grant No. 10271071）; The lower bound for the volume of the zonotope for John-basis had been given by Ball. In this paper, a simple proof of Ball＇s inequality was first provided, then the result of Ball was generalized from John-basis to ...; 关键词：ZONOTOPE John-basis QUERMASSINTEGRAL mixedvolume masspoint system

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