Cyclic Brunn-Minkowski Inequalities for p-affine surface area

  • Chang-Jian Zhao
Keywords: Affine surface area, mixed p-affine surface area, Brunn-Minkowski inequality, general mixed 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.

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Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606