[1] Firey W J. p-means of convex bodies. Math Scand, 1962, 10(1): 17--24
[2] Gardner R J. Geometric Tomography. Cambridge: Cambridge University Press, 1995
[3] Gruber P M. Approximation of convex bodies//Gruber P M, Wills J M. Convexity and Its Applications. Basel: Birkhäuser, 1983: 131--162
[4] Leichtwei{\ss} K. Affine Geometry of Convex Bodies. Heidelberg: J A Barth, 1998
[5] Leng G. S. Affine surface area curvature images for convex bodies. Acta Math Sinica, 2002, 45(2): 797--802 (in Chinese)
[6] Lutwak E. Dual mixed volumes. Pacific J Math, 1975, 58(3): 531--538
[7] Lutwak E. On some affine isoperimetric inequalities. J Differential Geom, 1986, 56(1): 1--13
[8] Lutwak E. Centroid bodies and dual mixed volumes. Proc London Math Soc, 1990, 60(2): 365--391
[9] Lutwak E. Extended affine surface area. Adv in Math, 1991, 85(2): 39--68
[10] Lutwak E. The Brunn-Minkowski-Firey Theory I: Mixed Volumes and the Minkowski Problem. J Differential Geom,1993, 38(2): 131--150
[11] Lutwak E, Oliker V. On the regularity of solutions to a generalization of the Minkowski problem. J Differential Geom, 1995, 41(2): 227--246
[12] Lutwak E. The Brunn-Minkowski-Firey Theory II: Affine and Geominimal Surface Areas. Adv Math, 1996, 118(2): 244--294
[13] Petty C M. Affine isoperimetric problems. Ann N Y Acad Sci, 1985, 440(2): 113--127
[14] Schneider R. Convex Bodies: The Brunn-Minkowski theory. Cambridge: Cambridge University Press, 1993
[15] Wang W D, Leng G S. Lp-dual mixed quermassintgrals. Indian J Pure Appl Math, 2005, 36(3): 177--188 |