[1] Campi S, Grochi P. The Lp-Busemann-Petty ceninequality. Adv Math, 2002, 167(1): 128--141
[2] Campi S, Grochi P. On the reverse Lp-Busemann-Petty centroid inequality. Mathematika, 2002, 49(1): 1--11
[3] Firey W J. p-means of convex bodies. Math Scand, 1962, 10(1): 17--24
[4] Gardner R J. Geometric Tomography. 2nd ed. Cambridge: Cambridge Univ Press, 2006: 403--405
[5] Lutwak E. The Brunn-Minkowski-Firey theory I: mixed volumes and the minkowski problem. J Differ Geom, 1993, 38(1): 131--150
[6] Lutwak E. The Brunn-Minkowski-Firey theory II: affine and geominimal surface areas. Adv Math, 1996, 118(2): 244--294
[7] Lutwak E, Yang D, Zhang G Y. Lp affine isoperimetric inequalities. J Differ Geom, 2000, 56(1): 111--132
[8] Lutwak E, Zhang G Y. Blaschke-Santaló inequalities. J Differ Geom, 1997, 47(1): 1--16
[9] Ryabogin D, Zvavitch A. The Fourier transform and Firey projections of convex bodies. Indiana Univ Math J, 2004, 53(3): 667--682
[10] Schneider R. Convex Bodies: The Brunn-Minkowski Theory. Cambridge: Cambridge Univ Press, 1993: 210--211
[11] Wang W D, Lu F H, Leng G S. A type of monotonicity on the Lp centroid body and Lp projection body. Math Inequal Appl, 2005, 8(4): 735--742
[12] Wang W D, Leng G S. Inequaities relating to the Lp-versions of the Petty's conjectured projection inequality. Appl Math Mech, 2007, 28(2): 269--276
[13] Wang W D, Leng G S. The Petty projection inequality for Lp-mixed projection bodies. Acta Math Sinica, English Series, 2007, 23(8): 1485--1494
|