Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
For the space of (not necessarily polynomial) Hermite type splines we develop algorithms for constructing the spline-wavelet decomposition provided that an arbitrary coarsening of a nonuniform spline-grid is a priori given. The construction is based on approximate relations guaranteeing the asymptotically optimal (with respect to the N-diameter of standard compact sets) approximate properties of this decomposition. We study the structure of restriction and extension matrices and prove that each of these matrices is the one-sided inverse of the transposed other. We propose the decomposition and reconstruction algorithms consisting of a small number of arithmetical actions.
Язык оригинала | английский |
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Страницы (с-по) | 133-148 |
Число страниц | 16 |
Журнал | Journal of Mathematical Sciences (United States) |
Том | 242 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 7 окт 2019 |
ID: 53483619