arXiv subjects

Frank Deutsch

Publications and source records attributed to Frank Deutsch.

2 recordsLinked to original sources

arXiv2017

Some Applications of the Hahn-Banach Separation Theorem

We show that a single special separation theorem (namely, a consequence of the geometric form of the Hahn-Banach theorem) can be used to prove Farkas type theorems, existence theorems for numerical quadrature with positive coefficients, and detailed characterizations of best approximations from certain important cones in Hilbert space.

math.FA↗

arXiv2012

Visible Points in Convex Sets and Best Approximation

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.

math.FA↗