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Mixed complex brightness integrals

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The notion of the mixed brightness was first introduced by Lutwak. Recently, Abardia and Bernig presented complex projection bodies. Based on this notion, we define the mixed complex brightness integrals… Click to show full abstract

The notion of the mixed brightness was first introduced by Lutwak. Recently, Abardia and Bernig presented complex projection bodies. Based on this notion, we define the mixed complex brightness integrals and establish related Aleksandrov–Fenchel inequality, cyclic inequality and monotonicity inequality, respectively.

Keywords: mixed complex; inequality; complex brightness; brightness; brightness integrals

Journal Title: Positivity
Year Published: 2019

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