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Permanence of moment estimates for p-products of convex bodies

Ulrich Brehm, Hendrik Vogt, Jürgen Voigt (2002)

Studia Mathematica

It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ℝⁿ are permanent under forming p-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the Γ-function.

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