### 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 language | English (US) |
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Title of host publication | Computational and Analytical Mathematics |

Subtitle of host publication | In Honor of Jonathan Borwein's 60th Birthday |

Publisher | Springer New York LLC |

Pages | 349-364 |

Number of pages | 16 |

ISBN (Print) | 9781461476207 |

DOIs | |

State | Published - Jan 1 2013 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 50 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*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

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*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Visible Points in Convex Sets and Best Approximation

AU - Deutsch, Frank

AU - Hundal, Hein

AU - Zikatanov, Ludmil

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84884276287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884276287&partnerID=8YFLogxK

U2 - 10.1007/978-1-4614-7621-4_15

DO - 10.1007/978-1-4614-7621-4_15

M3 - Conference contribution

AN - SCOPUS:84884276287

SN - 9781461476207

T3 - Springer Proceedings in Mathematics and Statistics

SP - 349

EP - 364

BT - Computational and Analytical Mathematics

PB - Springer New York LLC

ER -