Citation: | LI Xiao-yan, HE Bin-wu, LENG Gang-song. Mid-Facets of a Simplex[J]. Applied Mathematics and Mechanics, 2004, 25(6): 621-626. |
[1] |
Sanyal A.Medians of a simplex[J].Amer Math Monthly,1967,74(8):967—998. doi: 10.2307/2315279
|
[2] |
GUO Shu-guang.Some properties for middle sections of a simplex and their applications[J].J Math(PRC),1997,17(3):413—416.
|
[3] |
Boothby W M.An Introduction to Differentiable Manifolds and Riemannian Geometry[M].New York:Academic Press,1975.
|
[4] |
LENG Gang-song,ZHOU Guo-biao.Inverse forms of Hadamard inequality[J].SIAM J Matrix Anal Appl,2002,23(4):990—997. doi: 10.1137/S0895479801387279
|
[5] |
Reznikov A G.A strenghened isoperimetric inequality for simplices[A].In:J Lindenstrauss,V D Milmar Eds.Geometric Aspects of Functional Analysis,Lecture Notes in Math[C].1469.New York:Springer,1991,90—93.
|
[6] |
Schneider R.Covex Bodies: The Brunn-Minkowski Theory[M].Cambridge:Cambridge University Press,1993.
|
[7] |
LENG Gang-song, SHEN Zhu,TANG Li-hua.Inequalities for two simplices[J].J Math Anal Appl,2000,248(2):429—437. doi: 10.1006/jmaa.2000.6918
|
[8] |
Mitrinovic D S,PeAcariAc J E,Volenee V.Recent Advances in Geometric Inequalities[M].Dordrecht, Boston, London:Kluwer Acad Publ,1989.
|