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\(L_p\)-width-integrals and affine surface areas. (English) Zbl 1211.52009

The authors establish some new Brunn-Minkowski inequalities for \(L_p\)-width-integrals of mixed projection bodies and \(L_p\)-affine surface area of mixed bodies.

MSC:

52A40 Inequalities and extremum problems involving convexity in convex geometry
53A15 Affine differential geometry
46B20 Geometry and structure of normed linear spaces
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