Visible Points in Convex Sets and Best Approximation

2012/11/06 by Deutsch, Frank, Hundal, Hein, Zikatanov, Ludmil
#41A65 #52A27 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1211.1351

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.

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