The Dual Steiner Formula for Convex Compacta
Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 152
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The classical Steiner formula deals with the volume of
$K+rD_n$, where $K$ is a convex compact set in $R^n$, $r\ge0$, and
$D_n$ the Euclidean disc in $R^n$. We compute the volume of
$(K+rD_n)^*$, where $K^*$ means the dual of $K$. We also represent some
Steiner functionals by integrals and prove some inequalities.
Classification :
52A20
@article{PIM_1991_N_S_50_64_a18,
author = {Ljuban Dedi\'c},
title = {The {Dual} {Steiner} {Formula} for {Convex} {Compacta}},
journal = {Publications de l'Institut Math\'ematique},
pages = {152 },
publisher = {mathdoc},
volume = {_N_S_50},
number = {64},
year = {1991},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a18/}
}
Ljuban Dedić. The Dual Steiner Formula for Convex Compacta. Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 152 . http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a18/