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Cyclic Brunn-Minkowski Inequalities for p-affine surface area
Abstract
In 2010, Werner and Ye extended the denition for mixed p-affine surface area to all real numbers p. Following this, we establish some isoperimetric inequalities for the general mixed p-affine surface area. The results in special cases yield some of the recent results on inequalities of this type.
Mathematics Subject Classication (2010): 52A40, 46E30.
Key words: Affine surface area, mixed p-affine surface area, Brunn-Minkowski inequality,
general mixed p-affine surface area.
