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Journals and Conferences
It is shown that a function inL 1 has a best approximation by convex functions, and that the net of bestL p approximations converges asp decreases to one.
5 Corollary 2. A matrix B 2 M is the strict spectral approximation of C if and only if the vector (B ?C) is minimal with respect to the ordinary lexicographic ordering in the set f : = (B ? C); B 2 Mg. The characterization given in the Corollary 2 was used in 7] as the deenition of the strict spectral approximation for the case in which M is a linear… (More)
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… (More)