Extremal radii, diameter and minimum width in generalized Minkowski spaces
T Jahn - 2017 - projecteuclid.org
We discuss the notions of circumradius, inradius, diameter and minimum width in
generalized Minkowski spaces (that is, with respect to gauges), ie, we measure the``size''of …
generalized Minkowski spaces (that is, with respect to gauges), ie, we measure the``size''of …
How do difference bodies in complex vector spaces look like? A geometrical approach
J Abardia, E Saorín Gómez - Communications in Contemporary …, 2015 - World Scientific
We investigate geometrical properties and inequalities satisfied by the complex difference
body, in the sense of studying which of the classical ones for the difference body have an …
body, in the sense of studying which of the classical ones for the difference body have an …
On mean outer radii of random polytopes
D Alonso-Gutierrez, N Dafnis, MAH Cifre… - Indiana University …, 2014 - JSTOR
In this paper, we introduce a new sequence of quantities for random polytopes. Let KN=
X1,..., XN be a random polytope generated by independent random vectors uniformly …
X1,..., XN be a random polytope generated by independent random vectors uniformly …
Successive radii and ball operators in generalized Minkowski spaces
T Jahn - Advances in Geometry, 2017 - degruyter.com
We introduce successive radii in generalized Minkowski spaces (that is, with respect to
gauges) and study some first properties. This is done via formulating some kind of minimal …
gauges) and study some first properties. This is done via formulating some kind of minimal …
Mean radii of symmetrizations of a convex body
N Lombardi, E Saorín Gómez - Beiträge zur Algebra und Geometrie …, 2024 - Springer
We study the relation between some successive and mean radii of a convex body and its
Steiner, Schwarz, and Minkowski symmetral. In particular, we are interested in the mean …
Steiner, Schwarz, and Minkowski symmetral. In particular, we are interested in the mean …
On successive radii of p-sums of convex bodies
B González, MA Hernández Cifre - Advances in Geometry, 2014 - degruyter.com
We study the behavior of the successive inner and outer radii with respect to the Firey p-
sums of convex bodies, where p≥ 1. For all p≥ 1 we get upper and lower bounds for the …
sums of convex bodies, where p≥ 1. For all p≥ 1 we get upper and lower bounds for the …
Successive radii and Orlicz Minkowski sum
F Chen, C Yang, M Luo - Monatshefte für Mathematik, 2016 - Springer
Successive radii and Orlicz Minkowski sum | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Monatshefte …
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Monatshefte …
Improving bounds for the Perel'man-Pukhov quotient for inner and outer radii
BG Merino - arxiv preprint arxiv:1601.06997, 2016 - arxiv.org
In this work we study upper bounds for the ratio of successive inner and outer radii of a
convex body K. This problem was studied by Perel'man and Pukhov and it is a natural …
convex body K. This problem was studied by Perel'man and Pukhov and it is a natural …
On the families of successive radii and the sum of convex sets
BG Merino - Beiträge zur Algebra und Geometrie/Contributions to …, 2014 - Springer
In this note we study the behavior of the different families of successive outer and inner radii
with respect to the Minkowski addition of two convex bodies K and K^ ′, extending the …
with respect to the Minkowski addition of two convex bodies K and K^ ′, extending the …
Mean projection and section radii of convex bodies
J Abardia-Evéquoz, MA Hernández Cifre… - Acta Mathematica …, 2018 - Springer
We introduce new series of mean outer and inner radii, which are defined as the outer
(respectively, inner) radius of, either the projection of the convex body onto an i-dimensional …
(respectively, inner) radius of, either the projection of the convex body onto an i-dimensional …