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Some Classical Problems of Geometric Approximation Theory in Asymmetric Spacesстатья
- Авторы: Alimov A.R., Tsar’kov I.G.
- Журнал: Mathematical Notes
- Том: 112
- Номер: 1
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 3
- Последняя страница: 16
- DOI: 10.1134/S000143462207001X
- Аннотация: We establish a number of theorems of geometric approximation theory in asymmetricallynormed spaces. Sets with continuous selection of the near-best approximation operator are studiedand properties of such sets are discussed in terms of δ-solar points and the distance function. A resulton the coincidence of the classes of δ- and γ-suns in asymmetric spaces is given. An asymmetricanalogue of the Kolmogorov criterion for an element of best approximation for suns, strict suns, andα-suns is put forward.
- Добавил в систему: Царьков Игорь Германович