Abstract
Wang and Zhang defined a type of L p -dual mixed quermassintegrals based on the L p -radial combinations and dual quermassintegrals of star bodies. In the article, the product inequalities for this L p -dual mixed quermassintegrals are established. As the applications, we obtain the lower bounds of dual quermassintegrals product. Further, the Brunn-Minkowski type inequality and the cycle inequality for the L p -dual mixed quermassintegrals are given.
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