Visible Points in Convex Sets and Best Approximation
Functional Analysis
2012-11-07 v1 Numerical Analysis
Abstract
The concept of a visible point of a convex set relative to a given point is introduced. A number of basic properties of such visible point sets is developed. In particular, it is shown that this concept is useful in the study of best approximation, and it also seems to have potential value in the study of robotics.
Cite
@article{arxiv.1211.1351,
title = {Visible Points in Convex Sets and Best Approximation},
author = {Frank Deutsch and Hein Hundal and Ludmil Zikatanov},
journal= {arXiv preprint arXiv:1211.1351},
year = {2012}
}
Comments
Keywords and phrases: best approximation from convex sets, visible points in convex sets. 15 pages, 1 figure