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In the present paper we establish some new inequalities similar to extensions of Hilbert’s double-series inequality and give also their integral analogues. Our results provide some new estimates to these types of inequalities.  相似文献   
2.
The paper extends the two notions of the dual mixed volumes and L p -intersection body to q-dual mixed volumes and L p -mixed intersection body, respectively. Inequalities for the star dual of L p -mixed intersection bodies are established.  相似文献   
3.
In this paper we establish Minkowski, Brunn–Minkowski, and Aleksandrov-Fenchel type inequalities for volume differences of radial Blaschke–Minkowski homomorphisms.  相似文献   
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