Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Functions defined on closed subsets of elliptic curves equation presented are considered. The following converse theorem of approximation is established. Consider a function f : G → C. Assume that there is a sequence of polynomials Pn(ζ, w) in two variables, deg Pn ≤ n, such that the following inequalities are valid: equation presented where 0 < α < 1. Then the function f necessarily belongs to the class H α(G). The direct approximation theorem was proved in the previous paper by the authors. Thus, a constructive description of the class Hα(G) is obtained. Bibliography: 6 titles.
Язык оригинала | английский |
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Страницы (с-по) | 1756-1764 |
Число страниц | 9 |
Журнал | Journal of Mathematical Sciences |
Том | 133 |
Номер выпуска | 6 |
DOI | |
Состояние | Опубликовано - мар 2006 |
ID: 86660455