Displaying similar documents to “Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms”

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.

Inequalities for radial Blaschke-Minkowski homomorphisms

Bo Wei, Weidong Wang, Fenghong Lu (2015)

Annales Polonici Mathematici

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We establish L p Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.

On unit balls and isoperimetrices in normed spaces

Horst Martini, Zokhrab Mustafaev (2012)

Colloquium Mathematicae

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The purpose of this paper is to continue the investigations on the homothety of unit balls and isoperimetrices in higher-dimensional Minkowski spaces for the Holmes-Thompson measure and the Busemann measure. Moreover, we show a strong relation between affine isoperimetric inequalities and Minkowski geometry by proving some new related inequalities.