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《Journal of Anhui Normal University(Natural Science)》 2007-04
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A Class of Inequalities Involving Two Simplices and Their Applications

QI Ji-bing1,YANG Shi-guo2(1.School of Mathematics and Computational Science,Anhui University,Hefei 230039,China;2.Department of Mathematics,Anhui Institute of Education,Hefei 230061,China)  
Using analytic method and theory of geometric inequality, the problem of geometric inequality involving two simplices in En is discussed,and a class of inequalities involving two simplices and their interior points are established in this paper.As their applications,we can get a class of inequalities on the volumes of simplex and its pedal simplex,some known inequalities on the volumes of simplex and its pedal simplex are improved.
【Fund】: 安徽省高校省级重点项目(2006KJ067A)
【CateGory Index】: O187
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 YANG Shi-guo(Department of Mathematics, Anhui Institute of Education, Hefei 230061, China);A class of geometric inequalities for an interior point of a simplex[J];Journal of Zhejiang University(Sciences Edition);2004-05
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Geng (Dept. of Appl. Math.& Phy., Anhui Institute of Mechanical& Electrical Engineering, Wuhu 241000, China);Geometric inequalities and its applications in higher dimensional space[J];Journal of Anhui Institute of Mechanical and Electrical Engineering;2001-03
2 ZHU Guanghua (The Math Dept. of Anhui Institute of Education, Hefei 230061, China);Extension of A Geometric Inequlity[J];Journal of Anqing Teachers College(Natural Science Edition);2003-03
3 MA Tongyi(Department of Mathematics, Hexi University, Gansu Zhangye 734000, China);A Conjecture for the Incenter Simplex[J];Journal of Chengdu University (Natural Science);2003-03
4 ZHANG Yao (Mathematics and Computer Science College, Hunan Normal University, Changsha Hunan 410081);Stability on the Zhang-Yang Inequality of an N-Simplex with Application[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-02
5 ;^^A Note on the Conjecture ofSimplex with Feet of Perpendicular as Vertexes[J];JOURNAL OF YANSHAN UNIVERSITY;1999-02
6 YANG Shi-guo (Department of Mathematics,Anhui Institute of Education Hefei 230061);Some Inequalities for a Simplexes with Some Applications[J];Journal of University of Electronic Science and Technology of China;2007-S1
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