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《Journal of Chengdu University(Natural Science Edition)》 2008-03
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Maximum Area of Inscribed Polygon in Ellipse

YAO Wanrong1,LUO Zhao2(1.Dujiangyan Teacher's Training College,Dujiangyan 611830,China;2.College of Information Science and Technology,Chengdu University,Chengdu 610106,China)  
To prove the maximum area of ellipse inscribed polygon V(m)2≤12mr1r2sin2πm,And to narrate the two conjectures are the maximum volume of the ellipsoid's inscribed tetrahedron in three-dimensional space and the hyper ellipsoid's inscribed monmorphism in n-dimensional space.
【CateGory Index】: O178
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 To the 80—th birthday of our teacher Ko Chao Wu Changjiu and Wang Wanlan;The Regular Simplex Incribed In A Hypersphere Has Maximal Volume[J];Journal of Chengdu University (Natural Science);1990-03
【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 FAN Shou-fang (Computer Dept. of Suihua College, Suihua 152061, China);A Property of Continuous Function[J];Journal of Anqing Teachers College(Natural Science Edition);2005-03
3 LIU Zheng(Faculty of Science,Anshan University of Science and Technology,Anshan 114044,China);Monotonic Properties of Some Quotients[J];Journal of Anshan Institute of Iron and Steel Technology;2002-06
4 Let Tiangang (Department of Applied Mathematics and Physics.Beijing Institute of Chemical Technology,Beijing, 100029);Some Results on Unitary Congruence Invariant Norms[J];;1994-04
5 CHU Xiao-guang (Ningbo Capital Garments Development Co Ltd,Ningbo Zhejiang315000,China);Two Geometric Inequalities With the Fermat Problem[J];Journal of Beijing Union University;2004-03
6 ZHANG Xiao-ming~1, HU Ying-wu~2 (1. Haining College of Zhejiang TV University, HainingZhejiang314400,China; 2. Zhejiang Jinhua College of Profession & Technology,JinhuaZhejiang321017,China);On the Monotonicity of Sequences Generated by Geometric Convex Function[J];Journal of Beijing Union University;2004-04
7 JIANG Wei-dong (Heilongjiang Professional College of Agricultural Economy,Mudanjiang Heilongjiang\ 157041,China);A Geometric Inequality Involving Interior Point of a Triangle[J];Journal of Beijing Union University;2004-04
8 KUANG Ji-chang (Mathematics Department of Hunan Normal University, Changsha410081,China);New Progress in Inequality Study in China[J];Journal of Beijing Union University;2005-01
9 SHI Huan-nan (Normal College of Beijing Union University,Beijing 100011,China);Majorized Proof and Extensions of Bernoulli's Inequality[J];Journal of Beijing Union University(Natural Sciences);2008-02
10 SHI Huan-nan(Teacher's College of Beijing Union University,Beijing 100011,China);An Inequality with Two Parameters for Two Variables Power Means[J];Journal of Beijing Union University(Natural Sciences);2009-02
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