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On best simultaneous approximation. (English) Zbl 0924.41016
This paper is to extend main results in best approximation to those in best simultaneous approximation. A characterization theorem for best simultaneous approximation is given and from it an alternation theorem as well as a strong uniqueness theorem for best simultaneous approximation are derived.

MSC:
41A28 Simultaneous approximation
41A50 Best approximation, Chebyshev systems
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