Visible Points in Convex Sets and Best Approximation

Frank Deutsch, Hein Hundal, Ludmil Zikatanov

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

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 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
Pages349-364
Number of pages16
ISBN (Print)9781461476207
DOIs
StatePublished - Jan 1 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume50
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Fingerprint

Best Approximation
Convex Sets
Point Sets
Robotics
Concepts

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Deutsch, F., Hundal, H., & Zikatanov, L. (2013). Visible Points in Convex Sets and Best Approximation. In Computational and Analytical Mathematics: In Honor of Jonathan Borwein's 60th Birthday (pp. 349-364). (Springer Proceedings in Mathematics and Statistics; Vol. 50). Springer New York LLC. https://doi.org/10.1007/978-1-4614-7621-4_15
Deutsch, Frank ; Hundal, Hein ; Zikatanov, Ludmil. / Visible Points in Convex Sets and Best Approximation. Computational and Analytical Mathematics: In Honor of Jonathan Borwein's 60th Birthday. Springer New York LLC, 2013. pp. 349-364 (Springer Proceedings in Mathematics and Statistics).
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Deutsch, F, Hundal, H & Zikatanov, L 2013, Visible Points in Convex Sets and Best Approximation. in Computational and Analytical Mathematics: In Honor of Jonathan Borwein's 60th Birthday. Springer Proceedings in Mathematics and Statistics, vol. 50, Springer New York LLC, pp. 349-364. https://doi.org/10.1007/978-1-4614-7621-4_15

Visible Points in Convex Sets and Best Approximation. / Deutsch, Frank; Hundal, Hein; Zikatanov, Ludmil.

Computational and Analytical Mathematics: In Honor of Jonathan Borwein's 60th Birthday. Springer New York LLC, 2013. p. 349-364 (Springer Proceedings in Mathematics and Statistics; Vol. 50).

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

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Deutsch F, Hundal H, Zikatanov L. Visible Points in Convex Sets and Best Approximation. In Computational and Analytical Mathematics: In Honor of Jonathan Borwein's 60th Birthday. Springer New York LLC. 2013. p. 349-364. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-1-4614-7621-4_15