Remotest Points and Approximate Remotest Points in Metric Spaces

The approximation of concrete function classes is the most common subject in the theory of approximations of functions. An important particular case of this is the problem of the Chebyshev centre and radius. As it turns out, this problem is not only a special case of the Kolmogorov width problem, but it is also related in a mysterious way to other important characteristics and results in the theory of functions and other more general branches of analysis and geometry. The aim of the present study is to give a survey of the current state of this problem and to discuss its possible applications. Bibliography: 169 titles.

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Chebyshev centres, Jung constants, and their applications

Алимов¹,

Царьков²

2019

Uspekhi Mat. Nauk

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Приближение конкретных функциональных классов является самой распространенной тематикой теории приближения функций. Один из важных случаев этого направления - задача о чебышeвском центре и радиусе. Как выясняется, эта задача не только является частным случаем колмогоровского поперечника, но и таинственным образом связана с другими важными характеристиками и утверждениями из теории функций и более общих разделов математического анализа и геометрии. Обзору современного состояния этой проблематики и ее приложениям посвящена настоящая работа. Библиография: 169 названий.

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Remotest Points and Approximate Remotest Points in Metric Spaces

Cited by 3 publications

References 7 publications

Best proximity and remotest points results for weakly strongly lowear mapping and weakly strongly upper mapping

Best proximity and remotest points results for weakly strongly lowear mapping and weakly strongly upper mapping

Chebyshev centres, Jung constants, and their applications

Chebyshev centres, Jung constants, and their applications

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