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Displaying similar documents to “On the Busemann-Petty Problem for Perturbations of the Ball.”

Permanence of moment estimates for p-products of convex bodies

Ulrich Brehm, Hendrik Vogt, Jürgen Voigt (2002)

Studia Mathematica

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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.

The skeleta of convex bodies

David G. Larman (2009)

Banach Center Publications

Similarity:

The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.