Permanence of moment estimates for p-products of convex bodies

• Autorzy: Ulrich Brehm , Hendrik Vogt , Jürgen Voigt
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 33B15: Gamma, beta and polygamma functions
• 60F25: L p -limit theorems
• 52A20: Convex sets in n dimensions (including convex hypersurfaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 150
• Numer: 3
• Strony: 243-260

Daty

wydano

2002

Twórcy

autor

Ulrich Brehm

• Fachrichtung Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany

autor

Hendrik Vogt

• Fachrichtung Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany

autor

Jürgen Voigt

• Fachrichtung Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany

Identyfikatory

DOI

10.4064/sm150-3-3