Visible Points in Convex Sets and Best Approximation

Frank Deutsch, Hein Hundal, Ludmil Zikatanov

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 are 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.

Original languageEnglish (US)
Title of host publicationComputational and Analytical Mathematics
Subtitle of host publicationIn Honor of Jonathan Borwein's 60th Birthday
PublisherSpringer New York LLC
Number of pages16
ISBN (Print)9781461476207
StatePublished - 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

All Science Journal Classification (ASJC) codes

  • General Mathematics


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