The best uniform approximation in the metric space of continuous maps with compact convex images

For the problem of the best uniform approximation of a continuous map with compact convex images by sets of other continuous maps with compact convex images, we establish necessary and sufficient conditions and the criterion for an extremal element, which is a generalization of the classical Kolmogo...

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Bibliographic Details
Date:2010
Main Authors: Hnatyuk, Yu. V., Гнатюк, Ю. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2987
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal