Several Properties of New Ellipsoids

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SHEN Ya-jun, YUAN Jun. Several Properties of New Ellipsoids[J]. Applied Mathematics and Mechanics, 2008, 29(7): 877-882.

Citation:

SHEN Ya-jun, YUAN Jun. Several Properties of New Ellipsoids[J]. Applied Mathematics and Mechanics, 2008, 29(7): 877-882.

Citation:

SHEN Ya-jun, YUAN Jun. Several Properties of New Ellipsoids[J]. Applied Mathematics and Mechanics, 2008, 29(7): 877-882.

1.
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;

[1]	Leichtweiβ K.Affine Geometry of Convex Bodies[M].Heidelberg:J A Barth,1998.
[2]	Lindenstrauss J,Milman V D.Local theory of normal spaces and convexity[A].In:Gruber P M,Wills J M,Eds.Handbook of Convex Geometry[C].Amsterdam:North-Holland,1993,1149-1220.
[3]	Milman V D,Pajor A.Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space[A].In:Lindenstrauss J,Milman V D,Eds.Geometric Aspect of Functional Analysis[C].Springer Lecture Note in Math.1376(1).Berlin:Springer,1989,64-104.
[4]	Lutwak E.The Brunn-Minkowski-Firey theory Ⅰ: Mixed volumes and the Minkowski problem[J].J Differential Geom,1993,38(9):131-150.
[5]	Lutwak E.The Brunn-Minkowski-Firey theory Ⅱ:Affine and geominimal surface areas[J].Adv Math,1996,118(2):244-294. doi: 10.1006/aima.1996.0022
[6]	Lutwak E,Yang D,Zhang G Y.A new ellipsoid associated with convex bodies[J].Duke Math J,2000,104(3):375-390. doi: 10.1215/S0012-7094-00-10432-2
[7]	Yuan J,Si L，Leng G S.Extremum properties of the new ellipsoid[J].Tamkang Journal of Mathematics,2007,38(2):159-165.
[8]	Gardner R J.Geometric Tomography[M].2nd Ed.Cambridge:Cambridge University Press, 2006,20.