Abstract
The infimum of the quermassintegral product W i (K)W i (K*) for i = n – 1 was established by Lutwak. In this paper, the infimum of the dual quermassintegral product $${\widetilde{W}_{n+p}(K)\widetilde{W}_{n+p}(K^*)}$$ for any p ≥ 1 is obtained, and some new inequalities about convex bodies and their polar bodies are established.
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