References
- G. D. Chakerian, Isoperimetric inequalities for the mean width of a convex body, Geometriae Dedicata 1 (1973), no. 3, 356–362.
- G. D. Chakerian, The mean volume of boxes and cylinders circumscribed about a convex body, Israel J. Math. 12 (1972), 249–256. https://doi.org/10.1007/BF02790751
- R. J. Gardner, Geometric Tomography, Cambridge Univ. Press, Cambridge, 1995.
- H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press, London, 1934.
- G. Leng, C. Zhao, B. He, and X. Li, Inequalities for polars of mixed projection bodies, Sci. China Ser. A 47 (2004), no. 2, 175–186. https://doi.org/10.1360/03yc0076
- E. Lutwak, Width-integrals of convex bodies, Proc. Amer. Math. Soc. 53 (1975), no. 2, 435–439. https://doi.org/10.2307/2040030
- E. Lutwak, Dual mixed volumes, Pacific J. Math. 58 (1975), no. 2, 531–538. https://doi.org/10.2140/pjm.1975.58.531
- E. Lutwak, A general Bieberbach inequality, Math. Proc. Cambridge Philos. Soc. 78 (1975), no. 3, 493–495. https://doi.org/10.1017/S0305004100051963
- E. Lutwak, Mixed width-integrals of convex bodies, Israel J. Math. 28 (1977), no. 3, 249–253. https://doi.org/10.1007/BF02759811
- E. Lutwak, Mixed projection inequalities, Trans. Amer. Math. Soc. 287 (1985), no. 1, 91–105. https://doi.org/10.2307/2000399
- E. Lutwak, Intersection bodies and dual mixed volumes, Adv. in Math. 71 (1988), no. 2, 232–261. https://doi.org/10.1016/0001-8708(88)90077-1
- E. Lutwak, Inequalities for mixed projection bodies, Trans. Amer. Math. Soc. 339 (1993), no. 2, 901–916. https://doi.org/10.2307/2154305
- L. Santalo, An affine invariant for convex bodies of n-dimensional space, Portugaliae Math. 8 (1949), 155–161.
- R. Schneider, Convex Body: The Brunn-Minkowski Theory, Cambridge Univ. Press, Cambridge, 1993.
- G. Zhang, Centered bodies and dual mixed volumes, Trans. Amer. Math. Soc. 345 (1994), no. 2, 777–801. https://doi.org/10.2307/2154998
- C. J. Zhao and G. S. Leng, On polars of mixed projection bodies, J. Math. Anal. Appl. 316 (2006), no. 2, 664–678. https://doi.org/10.1016/j.jmaa.2005.04.073
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