Chebyshev Centers in Hyperplanes of c 0

Chebyshev Centers and Approximation in Pre-Hilbert C*-Modules

chebyshev centers and approximation in pre-hilbert c*-modules

Relative Chebyshev Centers in Hilbert Space

We characterize inner product spaces in terms of the relationship between the relative Chebyshev center of a set and the absolute Cheby-shev center of an associated set. A consequence of the characterization is that an existing nite algorithm can be adapted to calculate the center of a nite set relative to a nite dimensional aane space. We also discuss the case where the constraint set is nonli...

REMOTAL CENTERS AND CHEBYSHEV CENITERS IN NORMED SPACES

In this paper, we consider Nearest points" and Farthestpoints" in normed linear spaces. For normed space (X; ∥:∥), the set W subset X,we dene Pg; Fg;Rg where g 2 W. We obtion results about on Pg; Fg;Rg. Wend new results on Chebyshev centers in normed spaces. In nally we deneremotal center in normed spaces.

0 Restricted Permutations , Continued Fractions , and Chebyshev