Best uniform approximation in the metric space of continuous mappings with compact convex images |
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Authors: | Yu V Hnatyuk |
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Institution: | 1.Ohienko Kam’yanets’-Podil’s’kyi National University,Kam’yanets’-Podil’s’kyi,Ukraine |
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Abstract: | For the problem of the best uniform approximation of a continuous mapping with compact convex images by sets of other continuous
mappings with compact convex images, we establish necessary and sufficient conditions and a criterion for an element to be
extremal; the criterion obtained is a generalization of the classic Kolmogorov criterion for a polynomial of the best approximation. |
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