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Inequalities for dual harmonic quermassintegrals

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Abstract

In this paper, we study the properties of the dual harmonicquermassintegrals systematically and establish some inequalitiesfor the dual harmonic quermassintegrals, such as the Minkowskiinequality, the Brunn-Minkowski inequality, theBlas-chke-Santalacute{o} inequality and the Bieberbachinequality.

참고문헌 (10)

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  3. "Dual mixed volumes", 58(2), pp.531~ (1975)
  4. "Proc. Amer. Math. Soc. 90(1984" (1984), no. 3
  5. "Math. Ann. 280(1988" (1988), no. 1
  6. "Adv. Math. 71(1988" (1988), no. 2
  7. "Quotient star bodies, intersection bodies and starduality", 232(1), pp.45~60 (1999)
  8. "MA Addison-Wesley" (1976)
  9. P. Urysohn, "Mean width and volume of bodies in n dimensional space", 8 1924 (1924)
  10. "Dual kinematic formulas", 351(3), pp.985~995 (1999)

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