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Journal of the Korean Mathematical Society = 대한수학회지, v.43 no.3, 2006년, pp.593 - 607
Jun, Yuan (Department of Mathematics Shanghai University) , Shufeng Yuan (Department of Mathematics Shanghai University) , Gangsong Leng (Department of Mathematics Shanghai University)
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In this paper, we study the properties of the dual harmonic quermassintegrals systematically and establish some inequalities for the dual harmonic quermassintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blaschke-Santalo inequality and the Bieberbach inequality....
W. Blaschke, Uber affine Geometrie IX: Verschiedene Bemerkungen und Auf- gaben. Ber. Verh. Sachs. Akad. Wiss. Leipzig Math.-Phys. Kl 69 (1917), 412-420
L. Bieberbach, Uber eine extremaleigenschaft des kreises. Jber. Deutsch. Math.-Verein. 24 (1915), 247-250
T. Bonnesen and W. Fenchel, Theorie der konvexen Korper, Springer, Berlin, 1934
R. J. Gardner, Geometric tomography, Cambridge University Press, New York, 1995
H. Hadwiger and H. Sagan, Vorlesungen uber Inhalt, Oberflache und Isoperime- trie, Amer. Math. Monthly 65 (1958), no. 4, 300
D. Klain, Star valuations and dual mixed volumes, Adv. Math. 121 (1996), no. 1, 80-101
K. Leichtweiss. Konvexe Mengen, Springer-Verlag, Berlin-New York, 1980
E. Lutwak, Dual mixed volumes, Pacific J. Math. 58 (1975), no. 2, 531-538
E. Lutwak, A general Bieberbach inequality, Math. Proc. Cambrigde Philos. Soc. 78 (1975), 493-495
E. Lutwak, A general isepiphanic inequality, Proc. Amer. Math. Soc. 90 (1984), no. 3, 415-421
E. Lutwak, Mean dual and harmonic cross-sectional measures, Ann. Mat. Pura Appl. (4) 119 (1979), 139-148
E. Lutwak, Inequalities for Hadwiger's harmonic quermassintegrals, Math. Ann. 280 (1988), no. 1, 165-175
E. Lutwak, Intersection bodies and dual mixed volumes, Adv. Math. 71 (1988), no. 2, 232-261
M. Maria, Quotient star bodies, intersection bodies and star duality. J. Math. Anal. Appl. 232 (1999), no. 1, 45-60
L. A. Santalo, Un invariante afin para los cuerpos del espacio de n dimensiones. Portugal. Math. 8 (1949), 155-161
L. A. Santalo, Integral geometry and geometric probability. Reading, MA: Addison- Wesley, 1976
P. Urysohn, Mean width and volume of bodies in n dimensional space, Rec. Math. Soc. Math. Moscow 8 (1924), 477-480.(Russian)
R. Schneider, Convex bodies: the Brunn-Minkowski theory, Cambridge University Press, Cambridge, 1993
G. Y. Zhang, Dual kinematic formulas, Tran. Amer. Math. 351 (1999), no. 3, 985-995
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