Das Umkugelproblem und lineare semiinfinite Optimierung. (The circumsphere problem and linear semifinite optimization)
type: Item
instance of: scholarly article
title: Das Umkugelproblem und lineare semiinfinite Optimierung. (The circumsphere problem and linear semifinite optimization)
zbMATH Open document ID: 0689.52003
author: Friedrich Juhnke
published in: Beiträge zur Algebra und Geometrie
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138434
review text: Given a bounded pointset (in n-dimensional space) determine inequalities relating the radius R of the smallest ball covering A and the diameter of A. The author considers this as a linear semiinfinite optimization problem, and deduces Jungs inequality. He also considers a similar problem with the points restricted to the surface of a hemisphere. The method has application to other problems of this sort.
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52A55
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 49N15
zbMATH DE Number: 4129536
zbMATH Keywords: ball covering
zbMATH Keywords: linear semiinfinite optimization
zbMATH Keywords: Jungs inequality
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4129536