|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | Inequalities for polars of mixed projection bodies显示文摘In 1993 Lutwak established some analogs of the Brunn-Minkowsi inequality and the Aleksandrov-Fenchel inequality for mixed projection bodies. In this paper, following Lutwak, we give their polars forms. Further, as applications of our methods, we give a generalization of Pythagorean inequality for mixed volumes. | LENG Gangsong, ZHAO Changjian, HE Binwu & LI XiaoyanDepartment of Mathematics, Shanghai University, Shanghai 200436, China Department of Mathematics, Binzhou Teachers College, Binzhou 256604, China | 2004 | Science China Mathematics2004，47，2： | 9 |
| 2 | Isotropic bodies and Bourgain's problem显示文摘Let K ( ) Rn be a convex body of volume 1 whose barycenter is at the origin,LK be the isotropic constant of K. Finding the least upper bound of LK, being called Bourgain's problem, is a well known open problem in the local theory of Banach space.The best estimate known today is LK < cn1/4 log n, recently shown by Bourgain, for an arbitrary convex body in any finite dimension. Utilizing the method of spherical section function, it is proven that if K is a convex body with volume 1 and r1Bn2 ( )K ( ) r2 Bn2, (r1 ≥1/2, r2 ≤ -√n/2), then1/√2πe ≤ LK ≤ 1/2√3,and find the conditions with equality. Further,the geometric characteristic of isotropic bodies is shown. | HE Binwu & LENG Gangsong Department of Mathematics, Shanghai University, Shanghai 200444, China | 2005 | Science China Mathematics2005，48，5： | 6 |
| 3 | Brascamp-Lieb inequality for positive double John basis and its reverse显示文摘In this paper, we establish the Brascamp-Lieb inequality for positive double John basis and its reverse. As their applications, we estimate the upper and lower bounds for the volume product of two unit balls with the given norms. Moreover, the Loomis-Whitney inequality for positive double John basis is obtained. | LI Ai-Jun LENG GangSong | 2011 | Science China Mathematics2011，54，2： | 5 |
| 4 | On the Dual Orlicz Mixed Volumes显示文摘In this paper,the authors define a harmonic Orlicz combination and a dual Orlicz mixed volume of star bodies,and then establish the dual Orlicz-Minkowski mixedvolume inequality and the dual Orlicz-Brunn-Minkowksi inequality. | Hailin JIN Shufeng YUAN Gangsong LENG | 2015 | Chinese Annals of Mathematics,Series B2015，36，6： | 2 |
| 5 | On a Heilbronn-type problom显示文摘 | Diao Hansheng Leng Gangsong Si Lin | 2008 | Discrete Math2008，，308： | 1 |
| 6 | Lp-dual mixed guermassintegraks 显示文摘 | WANG Weidong LENG Gangsong | 2005 | Indian J Pure Appl Math2005，36，4： | 1 |
| 7 | The Lp-curvature images of convex bodies and Lp-projection bodies 显示文摘 | LV Songjun LENG Gangsong | 2008 | Proc Indian Acad Sci2008，118，3： | 1 |
| 8 | Some Inequalities Involving Two Simplexes显示文摘 | Leng Gangsong | 1997 | Geometriae Dedicata1997，，1： | 1 |
| 9 | The generalized sine theorem and inequalities for simplices显示文摘 | Gangsong Leng Yao Zhang | 1998 | Linear Algebra and Its Applications1998，，1： | 1 |
| 10 | Isotropic bodies and Bourgain’s problem显示文摘 | Binwu He Gangsong Leng | 2005 | Science in China Series A: Mathematics2005，，5： | 1 |
| 11 | On Dual Brunn-Minkowski Inequalities 显示文摘 | Zhao Changjian Pecaric Josip Leng Gangsong | 2005 | Math Inequal Appl2005，8，： | 1 |
| 12 | Some inequalities on the inradii of a simplex and of its faces显示文摘 | Leng Gangsong Tang Lihua | 1996 | Geometriae Dedicata1996，，1： | 1 |
| 13 | Mean width inequalities for symmetric Wulff shapes显示文摘We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequalities for even isotropic measures and its dual form as special cases. | GUO LuJun LENG GangSong | 2014 | Science China Mathematics2014，57，8： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员