Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
The spaces of Bφ-splines are proved to be embedded for an arbitrary grid refinement; the direct (wavelet) decomposition for chains of embedded spaces of Bφ-splines on a sequence of refined irregular grids is discussed; a wavelet basis of functions with compact supports is constructed; formulas of decomposition and reconstruction are provided. Simple solutions of certain interpolation problems in the spaces considered are suggested. Examples of the spline spaces are presented. Bibliography: 6 titles.
Язык оригинала | английский |
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Страницы (с-по) | 1618-1632 |
Число страниц | 15 |
Журнал | Journal of Mathematical Sciences |
Том | 141 |
Номер выпуска | 6 |
DOI | |
Состояние | Опубликовано - 1 мар 2007 |
ID: 49712564