Permanence of moment estimates for p-products of convex bodies

Ulrich Brehm, Hendrik Vogt, and Jürgen Voigt. "Permanence of moment estimates for p-products of convex bodies." Studia Mathematica 150.3 (2002): 243-260. <http://eudml.org/doc/284570>.

@article{UlrichBrehm2002,
abstract = {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.},
author = {Ulrich Brehm, Hendrik Vogt, Jürgen Voigt},
journal = {Studia Mathematica},
keywords = {convex body; isotropic; moment inequalities; Gamma function; central limit theorem},
language = {eng},
number = {3},
pages = {243-260},
title = {Permanence of moment estimates for p-products of convex bodies},
url = {http://eudml.org/doc/284570},
volume = {150},
year = {2002},
}

TY - JOUR
AU - Ulrich Brehm
AU - Hendrik Vogt
AU - Jürgen Voigt
TI - Permanence of moment estimates for p-products of convex bodies
JO - Studia Mathematica
PY - 2002
VL - 150
IS - 3
SP - 243
EP - 260
AB - 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.
LA - eng
KW - convex body; isotropic; moment inequalities; Gamma function; central limit theorem
UR - http://eudml.org/doc/284570
ER -