2000•Numerical Functional Analysis and OptimizationRequires access
Best approximation of finite sets in normed linear spaces
Sayel A. Ali, Radwan Al-Jarrah
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Abstract
In a Hilbert space, or in general, in a uniformly convex Banach space E, if K is a closed convex subset of E and a ∊ E, then there is a unique point x 0 ∊ K, called the best approximation of a in K, such that . In this paper, we consider the more general problem when a is replaced by a finite subset A = {a 1 a 2,…an } of a normed linear space E.