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Inequalities for radial Blaschke-Minkowski homomorphisms

Bo Wei; Weidong Wang; Fenghong Lu — 2015

Annales Polonici Mathematici

We establish $L_{p}$ Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.

A note on degree-continuous graphs

Chiang Lin; Wei-Bo Ou — 2007

Czechoslovak Mathematical Journal

The minimum orders of degree-continuous graphs with prescribed degree sets were investigated by Gimbel and Zhang, Czechoslovak Math. J. 51 (126) (2001), 163–171. The minimum orders were not completely determined in some cases. In this note, the exact values of the minimum orders for these cases are obtained by giving improved upper bounds.

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