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Schuster introduced radial Blaschke-Minkowski homomorphisms. Recently, they were generalized to L p $L_{p}$ radial Blaschke-Minkowski homomorphisms by Wang et al. In this paper, we first establish Brunn-Minkowski type inequalities for some L q $L_{q}$ radial sums of L p $L_{p}$ radial Blaschke-Minkowski homomorphisms. Further, we consider monotonic inequalities for L p $L_{p}$ radial Blaschke-Minkowski homomorphisms

Some Brunn-Minkowski type inequalities for L p $L_{p}$ radial Blaschke-Minkowski homomorphisms