The Steiner Point of a Convex Polytope
- 1 January 1966
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 18, 1294-1300
- https://doi.org/10.4153/cjm-1966-128-4
Abstract
Associated with each bounded convex set K in n-dimensional euclidean space En is a point s(K) known as its Steiner point. First considered by Steiner in 1840 (6, p. 99) in connection with an extremal problem for convex regions, this point has been found useful in some recent investigations (for example, 4) because of the linearity property 1 Addition on the left is vector addition of convex sets.Keywords
This publication has 2 references indexed in Scilit:
- Approximation problems for convex polyhedraMathematika, 1964
- Convex functions and upper semi-continuous collectionsDuke Mathematical Journal, 1952