A Note on Starshaped Sets
Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 283
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We find the smallest Lipschitz constant for the radial
projection of the unit sphere on the boundary of a compact star-shaped
set containing the origin in the interior of its convex kernel. We also
find the least upper bound of the upper outer surface area in the sense
of Minkowski of the boundary of a compact star-shaped set contained in
the unit ball and containing a concentric ball of radius a $(0
Classification :
52A30
Keywords: the smallest Lipschitz constant, the upper outer surface area in the sense of Minkowski
Keywords: the smallest Lipschitz constant, the upper outer surface area in the sense of Minkowski
Siniša Vrećica. A Note on Starshaped Sets. Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 283 . http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a30/
@article{PIM_1981_N_S_29_43_a30,
author = {Sini\v{s}a Vre\'cica},
title = {A {Note} on {Starshaped} {Sets}},
journal = {Publications de l'Institut Math\'ematique},
pages = {283 },
year = {1981},
volume = {_N_S_29},
number = {43},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a30/}
}